Greatest Common Factor of 9635/51, 6342/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9635/51, 6342/824

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9635/51,6342/824

Given fractions are 9635/51,6342/824

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9635,6342

Greatest Common Factor of Numerators i.e. GCF of 9635,6342 is 1 .

LCM of Denominators means LCM of 51,824 as per the given fractions.

LCM of 51,824 is 42024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9635,6342

GCF of Fractions 9635/51,6342/824 is 1/42024

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9635,6342 By Matching Biggest Common Factor Method

Greatest Common Factor of 9635,6342 By Matching Biggest Common Factor Method

Factors of 9635

List of positive integer factors of 9635 that divides 9635 without a remainder.

1,5,41,47,205,235,1927,9635

Factors of 6342

List of positive integer factors of 6342 that divides 6342 without a remainder.

1,2,3,6,7,14,21,42,151,302,453,906,1057,2114,3171,6342

Greatest Common Factor

We found the factors 9635,6342 . The biggest common factor number is the GCF number.
So the greatest common factor 9635,6342 is 1.

Lets's calculate LCM of 51,824

Given numbers has no common factors except 1. So, there LCM is their product i.e 42024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42024

Therefore, the GCF of Fractions 9635/51,6342/824 is 1/42024

Least Common Multiple of 51,824 with GCF Formula

Least Common Multiple of 51,824 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 51,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,824) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,824) x common factors =1 x 1 = 1

LCM(51,824) = ( 51 × 824 ) / 1

LCM(51,824) = 42024 / 1

LCM(51,824) = 42024


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9635/51, 6342/824

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9635/51, 6342/824?

Answer: GCF of Numerators as per given numbers 9635/51, 6342/824 is

GCF of Numerators i.e. for 9635,6342 is 1

LCM of denominators i.e. for 51,824 is 42024.

Thus, GCF of Fractions is 1/42024.Finally, GCF of Fractions for 9635/51, 6342/824 is 1/42024.