Greatest Common Factor of 7072/976, 8260/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7072/976, 8260/776

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 7072/976,8260/776

Given fractions are 7072/976,8260/776

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 7072,8260

Greatest Common Factor of Numerators i.e. GCF of 7072,8260 is 4 .

LCM of Denominators means LCM of 976,776 as per the given fractions.

LCM of 976,776 is 94672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7072,8260

GCF of Fractions 7072/976,8260/776 is 4/94672

2 7072, 8260
2 3536, 4130
1768, 2065

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

Greatest Common Factor of 7072,8260 By Matching Biggest Common Factor Method

Greatest Common Factor of 7072,8260 By Matching Biggest Common Factor Method

Factors of 7072

List of positive integer factors of 7072 that divides 7072 without a remainder.

1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072

Factors of 8260

List of positive integer factors of 8260 that divides 8260 without a remainder.

1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260

Greatest Common Factor

We found the factors 7072,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 7072,8260 is 4.

Lets's calculate LCM of 976,776

2 976, 776
2 488, 388
2 244, 194
122, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 97 = 94672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/94672

Therefore, the GCF of Fractions 7072/976,8260/776 is 4/94672

Least Common Multiple of 976,776 with GCF Formula

Least Common Multiple of 976,776 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 976,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,776) = 8

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

GCF(976,776) x common factors =8 x 1 = 8

LCM(976,776) = ( 976 × 776 ) / 8

LCM(976,776) = 757376 / 8

LCM(976,776) = 94672


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 7072/976, 8260/776

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 7072/976, 8260/776?

Answer: GCF of Numerators as per given numbers 7072/976, 8260/776 is

GCF of Numerators i.e. for 7072,8260 is 4

LCM of denominators i.e. for 976,776 is 94672.

Thus, GCF of Fractions is 4/94672.Finally, GCF of Fractions for 7072/976, 8260/776 is 4/94672.