Greatest Common Factor of 6880/87, 7532/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6880/87, 7532/756

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 6880/87,7532/756

Given fractions are 6880/87,7532/756

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 6880,7532

Greatest Common Factor of Numerators i.e. GCF of 6880,7532 is 4 .

LCM of Denominators means LCM of 87,756 as per the given fractions.

LCM of 87,756 is 21924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6880,7532

GCF of Fractions 6880/87,7532/756 is 4/21924

2 6880, 7532
2 3440, 3766
1720, 1883

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6880,7532 By Matching Biggest Common Factor Method

Greatest Common Factor of 6880,7532 By Matching Biggest Common Factor Method

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880

Factors of 7532

List of positive integer factors of 7532 that divides 7532 without a remainder.

1,2,4,7,14,28,269,538,1076,1883,3766,7532

Greatest Common Factor

We found the factors 6880,7532 . The biggest common factor number is the GCF number.
So the greatest common factor 6880,7532 is 4.

Lets's calculate LCM of 87,756

3 87, 756
29, 252

∴ So the LCM of the given numbers is 3 x 29 x 252 = 21924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21924

Therefore, the GCF of Fractions 6880/87,7532/756 is 4/21924

Least Common Multiple of 87,756 with GCF Formula

Least Common Multiple of 87,756 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 87,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,756) = 3

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

GCF(87,756) x common factors =3 x 1 = 3

LCM(87,756) = ( 87 × 756 ) / 3

LCM(87,756) = 65772 / 3

LCM(87,756) = 21924


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 6880/87, 7532/756

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 6880/87, 7532/756?

Answer: GCF of Numerators as per given numbers 6880/87, 7532/756 is

GCF of Numerators i.e. for 6880,7532 is 4

LCM of denominators i.e. for 87,756 is 21924.

Thus, GCF of Fractions is 4/21924.Finally, GCF of Fractions for 6880/87, 7532/756 is 4/21924.