Greatest Common Factor of 872/139, 7094/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/139, 7094/695

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 872/139,7094/695

Given fractions are 872/139,7094/695

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 872,7094

Greatest Common Factor of Numerators i.e. GCF of 872,7094 is 2 .

LCM of Denominators means LCM of 139,695 as per the given fractions.

LCM of 139,695 is 695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,7094

GCF of Fractions 872/139,7094/695 is 2/695

2 872, 7094
436, 3547

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

Greatest Common Factor of 872,7094 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,7094 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 7094

List of positive integer factors of 7094 that divides 7094 without a remainder.

1,2,3547,7094

Greatest Common Factor

We found the factors 872,7094 . The biggest common factor number is the GCF number.
So the greatest common factor 872,7094 is 2.

Lets's calculate LCM of 139,695

139 139, 695
1, 5

∴ So the LCM of the given numbers is 139 x 1 x 5 = 695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/695

Therefore, the GCF of Fractions 872/139,7094/695 is 2/695

Least Common Multiple of 139,695 with GCF Formula

Least Common Multiple of 139,695 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 139,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,695) = 139

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

GCF(139,695) x common factors =139 x 1 = 139

LCM(139,695) = ( 139 × 695 ) / 139

LCM(139,695) = 96605 / 139

LCM(139,695) = 695


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 872/139, 7094/695

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 872/139, 7094/695?

Answer: GCF of Numerators as per given numbers 872/139, 7094/695 is

GCF of Numerators i.e. for 872,7094 is 2

LCM of denominators i.e. for 139,695 is 695.

Thus, GCF of Fractions is 2/695.Finally, GCF of Fractions for 872/139, 7094/695 is 2/695.