Greatest Common Factor of 7815/88, 8022/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7815/88, 8022/272

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 7815/88,8022/272

Given fractions are 7815/88,8022/272

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 7815,8022

Greatest Common Factor of Numerators i.e. GCF of 7815,8022 is 3 .

LCM of Denominators means LCM of 88,272 as per the given fractions.

LCM of 88,272 is 2992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7815,8022

GCF of Fractions 7815/88,8022/272 is 3/2992

3 7815, 8022
2605, 2674

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7815,8022 By Matching Biggest Common Factor Method

Greatest Common Factor of 7815,8022 By Matching Biggest Common Factor Method

Factors of 7815

List of positive integer factors of 7815 that divides 7815 without a remainder.

1,3,5,15,521,1563,2605,7815

Factors of 8022

List of positive integer factors of 8022 that divides 8022 without a remainder.

1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022

Greatest Common Factor

We found the factors 7815,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 7815,8022 is 3.

Lets's calculate LCM of 88,272

2 88, 272
2 44, 136
2 22, 68
11, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 34 = 2992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2992

Therefore, the GCF of Fractions 7815/88,8022/272 is 3/2992

Least Common Multiple of 88,272 with GCF Formula

Least Common Multiple of 88,272 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 88,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,272) = 8

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

GCF(88,272) x common factors =8 x 1 = 8

LCM(88,272) = ( 88 × 272 ) / 8

LCM(88,272) = 23936 / 8

LCM(88,272) = 2992


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 7815/88, 8022/272

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 7815/88, 8022/272?

Answer: GCF of Numerators as per given numbers 7815/88, 8022/272 is

GCF of Numerators i.e. for 7815,8022 is 3

LCM of denominators i.e. for 88,272 is 2992.

Thus, GCF of Fractions is 3/2992.Finally, GCF of Fractions for 7815/88, 8022/272 is 3/2992.