Greatest Common Factor of 8072/22, 8742/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8072/22, 8742/727

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 8072/22,8742/727

Given fractions are 8072/22,8742/727

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 8072,8742

Greatest Common Factor of Numerators i.e. GCF of 8072,8742 is 2 .

LCM of Denominators means LCM of 22,727 as per the given fractions.

LCM of 22,727 is 15994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8072,8742

GCF of Fractions 8072/22,8742/727 is 2/15994

2 8072, 8742
4036, 4371

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

Greatest Common Factor of 8072,8742 By Matching Biggest Common Factor Method

Greatest Common Factor of 8072,8742 By Matching Biggest Common Factor Method

Factors of 8072

List of positive integer factors of 8072 that divides 8072 without a remainder.

1,2,4,8,1009,2018,4036,8072

Factors of 8742

List of positive integer factors of 8742 that divides 8742 without a remainder.

1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742

Greatest Common Factor

We found the factors 8072,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 8072,8742 is 2.

Lets's calculate LCM of 22,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 15994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15994

Therefore, the GCF of Fractions 8072/22,8742/727 is 2/15994

Least Common Multiple of 22,727 with GCF Formula

Least Common Multiple of 22,727 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 22,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,727) = 1

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

GCF(22,727) x common factors =1 x 1 = 1

LCM(22,727) = ( 22 × 727 ) / 1

LCM(22,727) = 15994 / 1

LCM(22,727) = 15994


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 8072/22, 8742/727

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 8072/22, 8742/727?

Answer: GCF of Numerators as per given numbers 8072/22, 8742/727 is

GCF of Numerators i.e. for 8072,8742 is 2

LCM of denominators i.e. for 22,727 is 15994.

Thus, GCF of Fractions is 2/15994.Finally, GCF of Fractions for 8072/22, 8742/727 is 2/15994.