Greatest Common Factor of 7510/344, 9756/9835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7510/344, 9756/9835

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 7510/344,9756/9835

Given fractions are 7510/344,9756/9835

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 7510,9756

Greatest Common Factor of Numerators i.e. GCF of 7510,9756 is 2 .

LCM of Denominators means LCM of 344,9835 as per the given fractions.

LCM of 344,9835 is 3383240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7510,9756

GCF of Fractions 7510/344,9756/9835 is 2/3383240

2 7510, 9756
3755, 4878

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7510,9756 By Matching Biggest Common Factor Method

Greatest Common Factor of 7510,9756 By Matching Biggest Common Factor Method

Factors of 7510

List of positive integer factors of 7510 that divides 7510 without a remainder.

1,2,5,10,751,1502,3755,7510

Factors of 9756

List of positive integer factors of 9756 that divides 9756 without a remainder.

1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756

Greatest Common Factor

We found the factors 7510,9756 . The biggest common factor number is the GCF number.
So the greatest common factor 7510,9756 is 2.

Lets's calculate LCM of 344,9835

Given numbers has no common factors except 1. So, there LCM is their product i.e 3383240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3383240

Therefore, the GCF of Fractions 7510/344,9756/9835 is 2/3383240

Least Common Multiple of 344,9835 with GCF Formula

Least Common Multiple of 344,9835 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 344,9835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,9835) = 1

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

GCF(344,9835) x common factors =1 x 1 = 1

LCM(344,9835) = ( 344 × 9835 ) / 1

LCM(344,9835) = 3383240 / 1

LCM(344,9835) = 3383240


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 7510/344, 9756/9835

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 7510/344, 9756/9835?

Answer: GCF of Numerators as per given numbers 7510/344, 9756/9835 is

GCF of Numerators i.e. for 7510,9756 is 2

LCM of denominators i.e. for 344,9835 is 3383240.

Thus, GCF of Fractions is 2/3383240.Finally, GCF of Fractions for 7510/344, 9756/9835 is 2/3383240.