Greatest Common Factor of 6976/119, 8526/7680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6976/119, 8526/7680

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 6976/119,8526/7680

Given fractions are 6976/119,8526/7680

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 6976,8526

Greatest Common Factor of Numerators i.e. GCF of 6976,8526 is 2 .

LCM of Denominators means LCM of 119,7680 as per the given fractions.

LCM of 119,7680 is 913920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6976,8526

GCF of Fractions 6976/119,8526/7680 is 2/913920

2 6976, 8526
3488, 4263

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

Greatest Common Factor of 6976,8526 By Matching Biggest Common Factor Method

Greatest Common Factor of 6976,8526 By Matching Biggest Common Factor Method

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976

Factors of 8526

List of positive integer factors of 8526 that divides 8526 without a remainder.

1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526

Greatest Common Factor

We found the factors 6976,8526 . The biggest common factor number is the GCF number.
So the greatest common factor 6976,8526 is 2.

Lets's calculate LCM of 119,7680

Given numbers has no common factors except 1. So, there LCM is their product i.e 913920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/913920

Therefore, the GCF of Fractions 6976/119,8526/7680 is 2/913920

Least Common Multiple of 119,7680 with GCF Formula

Least Common Multiple of 119,7680 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 119,7680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,7680) = 1

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

GCF(119,7680) x common factors =1 x 1 = 1

LCM(119,7680) = ( 119 × 7680 ) / 1

LCM(119,7680) = 913920 / 1

LCM(119,7680) = 913920


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 6976/119, 8526/7680

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 6976/119, 8526/7680?

Answer: GCF of Numerators as per given numbers 6976/119, 8526/7680 is

GCF of Numerators i.e. for 6976,8526 is 2

LCM of denominators i.e. for 119,7680 is 913920.

Thus, GCF of Fractions is 2/913920.Finally, GCF of Fractions for 6976/119, 8526/7680 is 2/913920.