Greatest Common Factor of 9757/756, 2929/9494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9757/756, 2929/9494

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 9757/756,2929/9494

Given fractions are 9757/756,2929/9494

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 9757,2929

Greatest Common Factor of Numerators i.e. GCF of 9757,2929 is 1 .

LCM of Denominators means LCM of 756,9494 as per the given fractions.

LCM of 756,9494 is 3588732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9757,2929

GCF of Fractions 9757/756,2929/9494 is 1/3588732

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

Greatest Common Factor of 9757,2929 By Matching Biggest Common Factor Method

Greatest Common Factor of 9757,2929 By Matching Biggest Common Factor Method

Factors of 9757

List of positive integer factors of 9757 that divides 9757 without a remainder.

1,11,887,9757

Factors of 2929

List of positive integer factors of 2929 that divides 2929 without a remainder.

1,29,101,2929

Greatest Common Factor

We found the factors 9757,2929 . The biggest common factor number is the GCF number.
So the greatest common factor 9757,2929 is 1.

Lets's calculate LCM of 756,9494

2 756, 9494
378, 4747

∴ So the LCM of the given numbers is 2 x 378 x 4747 = 3588732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3588732

Therefore, the GCF of Fractions 9757/756,2929/9494 is 1/3588732

Least Common Multiple of 756,9494 with GCF Formula

Least Common Multiple of 756,9494 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 756,9494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,9494) = 2

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

GCF(756,9494) x common factors =2 x 1 = 2

LCM(756,9494) = ( 756 × 9494 ) / 2

LCM(756,9494) = 7177464 / 2

LCM(756,9494) = 3588732


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 9757/756, 2929/9494

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 9757/756, 2929/9494?

Answer: GCF of Numerators as per given numbers 9757/756, 2929/9494 is

GCF of Numerators i.e. for 9757,2929 is 1

LCM of denominators i.e. for 756,9494 is 3588732.

Thus, GCF of Fractions is 1/3588732.Finally, GCF of Fractions for 9757/756, 2929/9494 is 1/3588732.