Greatest Common Factor of 8752/735, 7706/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8752/735, 7706/714

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 8752/735,7706/714

Given fractions are 8752/735,7706/714

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 8752,7706

Greatest Common Factor of Numerators i.e. GCF of 8752,7706 is 2 .

LCM of Denominators means LCM of 735,714 as per the given fractions.

LCM of 735,714 is 24990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8752,7706

GCF of Fractions 8752/735,7706/714 is 2/24990

2 8752, 7706
4376, 3853

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

Greatest Common Factor of 8752,7706 By Matching Biggest Common Factor Method

Greatest Common Factor of 8752,7706 By Matching Biggest Common Factor Method

Factors of 8752

List of positive integer factors of 8752 that divides 8752 without a remainder.

1,2,4,8,16,547,1094,2188,4376,8752

Factors of 7706

List of positive integer factors of 7706 that divides 7706 without a remainder.

1,2,3853,7706

Greatest Common Factor

We found the factors 8752,7706 . The biggest common factor number is the GCF number.
So the greatest common factor 8752,7706 is 2.

Lets's calculate LCM of 735,714

3 735, 714
7 245, 238
35, 34

∴ So the LCM of the given numbers is 3 x 7 x 35 x 34 = 24990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24990

Therefore, the GCF of Fractions 8752/735,7706/714 is 2/24990

Least Common Multiple of 735,714 with GCF Formula

Least Common Multiple of 735,714 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 735,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,714) = 21

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

GCF(735,714) x common factors =21 x 1 = 21

LCM(735,714) = ( 735 × 714 ) / 21

LCM(735,714) = 524790 / 21

LCM(735,714) = 24990


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 8752/735, 7706/714

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 8752/735, 7706/714?

Answer: GCF of Numerators as per given numbers 8752/735, 7706/714 is

GCF of Numerators i.e. for 8752,7706 is 2

LCM of denominators i.e. for 735,714 is 24990.

Thus, GCF of Fractions is 2/24990.Finally, GCF of Fractions for 8752/735, 7706/714 is 2/24990.