Greatest Common Factor of 8728/798, 8722/6979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8728/798, 8722/6979

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 8728/798,8722/6979

Given fractions are 8728/798,8722/6979

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 8728,8722

Greatest Common Factor of Numerators i.e. GCF of 8728,8722 is 2 .

LCM of Denominators means LCM of 798,6979 as per the given fractions.

LCM of 798,6979 is 795606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8728,8722

GCF of Fractions 8728/798,8722/6979 is 2/795606

2 8728, 8722
4364, 4361

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

Greatest Common Factor of 8728,8722 By Matching Biggest Common Factor Method

Greatest Common Factor of 8728,8722 By Matching Biggest Common Factor Method

Factors of 8728

List of positive integer factors of 8728 that divides 8728 without a remainder.

1,2,4,8,1091,2182,4364,8728

Factors of 8722

List of positive integer factors of 8722 that divides 8722 without a remainder.

1,2,7,14,49,89,98,178,623,1246,4361,8722

Greatest Common Factor

We found the factors 8728,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 8728,8722 is 2.

Lets's calculate LCM of 798,6979

7 798, 6979
114, 997

∴ So the LCM of the given numbers is 7 x 114 x 997 = 795606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/795606

Therefore, the GCF of Fractions 8728/798,8722/6979 is 2/795606

Least Common Multiple of 798,6979 with GCF Formula

Least Common Multiple of 798,6979 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 798,6979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,6979) = 7

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

GCF(798,6979) x common factors =7 x 1 = 7

LCM(798,6979) = ( 798 × 6979 ) / 7

LCM(798,6979) = 5569242 / 7

LCM(798,6979) = 795606


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 8728/798, 8722/6979

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 8728/798, 8722/6979?

Answer: GCF of Numerators as per given numbers 8728/798, 8722/6979 is

GCF of Numerators i.e. for 8728,8722 is 2

LCM of denominators i.e. for 798,6979 is 795606.

Thus, GCF of Fractions is 2/795606.Finally, GCF of Fractions for 8728/798, 8722/6979 is 2/795606.