How to Find HCF
Highest Common Factor and Least common multiple is one of the interesting concepts in Math’s. So those aspirants who are preparing for competitive or board exam and facing problem in understanding the concept How to Find HCF Quickly Or solving the question, for them we have provided Division Method and Prime Factorization method. We have also furnished some examples to make the concept clearer, calculate HCF and LCM of a Number.
In the below section of this page www.recruitmentinboxx.com you are going to see and understand the concept of the How to Find HCF Easily, How to Find Two Numbers When HCF and LCM Are Given and others.
How to Find HCF
Highest Common Factor can be calculated in two different ways that is Division Method and Prime Factorization method. For the easiness of aspirants we have provided both the methods and techniques how to solve them.
- How to Find HCF by Prime Factorization
Prime factorization of the given number is to express a given number as a product of prime factor. It is also known as is also known as complete factorization. There are two ways of finding HCF by Prime Factorization:
- Tree factorization method
- One is by dividing
Example: Find prime factorization of 36
Prime factorization of 36 = 2 × 2 × 3 × 3
= 2² × 3²
Check Here: Discount Formula
- How to Find HCF by Division Method
HCF by division method can be calculated in two different ways that are stated below:
Case 1: How to Find HCF of 2 Numbers
Step 1: first of all you have to divide the larger number by the smaller number.
Step 2: Divisor of step 1 is divided by its remainder.
Step 3: Divisor of step 2 is divided by its remainder.
Step 4: Continue this process till we get zero as remainder.
Step 5: Divisor of the last step is the Highest Common Factor.
Case 2: How to Find HCF of 3 Numbers
Step 1: Find out Highest Common Factor of any two numbers.
Step 2: Find out the Highest Common Factor of the third number and the HCF obtained in step 1.
Step 3: Highest Common Factor obtained in step 2 will be the HCF of the three numbers.
- How to Find HCF of 3 Numbers Using Euclid’s Division Lemma
Let three no’s are A, B and C
Then find the HCF of A and B
Let their HCF is D
Then find the HCF of C and D
The HCF of c and d is the HCF of A, B and C
Example: Let the numbers be 15, 36, 72
First take the HCF of 15 and 36
So HCF (36, 15) =3
Now HCF (3, 72)
So HCF (3, 72) =3
Therefore HCF (36, 72, 15) =3
- How to Find HCF of Fractions
We have furnished formulae of HCF and L.C.M which will help you can solve HCF and LCM questions with fraction. Must have a glance!!
- C.F. = H.C.F. of Numerators/ L.C.M. of Denominators
- C.M. = L.C.M. of Numerators/ H.C.F. of Denominators
Also Know About:
How to Find LCM:
There are two methods of solving Least common multiple (LCM) that are division Method and Prime Factorization method. We have furnished both the method along with example for the student’s convenience and to make them understand the method.
- How to Find LCM by Using Division Method
Step 1: Write the specific numbers in a horizontal line, separate them by using commas.
Step 2: Divide the numbers by using an appropriate prime number that exactly divides at least two of the given numbers.
Step 3: now put the quotient directly under the numbers in the next line. In case the number is not divided exactly, we need to bring it down in the next row.
Step 4: again continue the process we used in step 2 and step 3 until all co-prime numbers are left in the last row.
Step 5: at last you have to multiply all the prime numbers by which you have divided and the co-prime numbers left in the last row. This product is the least common multiple of the given numbers.
Example: Find least common multiple (L.C.M) of 20 and 30 by division method.
Least common multiple (L.C.M) of 20 and 30 = 2 × 2 × 5 × 3 = 60
Do You Know: How to Prepare For Maths Exam
- How to Find LCM by Using Prime Factorization method
Step I: first of all you have to resolve each given number into its prime factors and express the factors obtained in exponent form.
Step II: then you have to find the product of the highest powers of all the factors that occur in any of the given numbers.
Step III: at last, the product obtained in Step II is the required least common multiple (L.C.M).
Example: Find the least common multiple (L.C.M) of 9 and 15 by using prime factorization method.
Step II: The product of all the factors with highest powers. = 3^2 × 5 = 3 × 3 × 5 = 45
Step III: Least common multiple (L.C.M) of 9 and 15 = 45
Check Here: Profit And Loss Formulas
Candidates who want to fetch more information regarding How to Find HCF And LCM Quickly by Using Division Method, Prime Factorization are advised to stay in touch with our portal (www.recruitmentinboxx.com) by pressing CTRL + D or subscribing our free email service to get all the latest updates.
You may also like to check this Section
|Student Success Strategies||How To Reduce Negative Marking In Exam|
|Interview Prep. Tips- By Experts||Golden Rules of Career Success|
|How To Make A Resume||Strategies of Personality Development|
|Latest Current Affairs||Top 100 Career Options|