Greatest Common Factor of 2179/71, 8124/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2179/71, 8124/694

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 2179/71,8124/694

Given fractions are 2179/71,8124/694

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 2179,8124

Greatest Common Factor of Numerators i.e. GCF of 2179,8124 is 1 .

LCM of Denominators means LCM of 71,694 as per the given fractions.

LCM of 71,694 is 49274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2179,8124

GCF of Fractions 2179/71,8124/694 is 1/49274

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2179,8124 By Matching Biggest Common Factor Method

Greatest Common Factor of 2179,8124 By Matching Biggest Common Factor Method

Factors of 2179

List of positive integer factors of 2179 that divides 2179 without a remainder.

1,2179

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors 2179,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 2179,8124 is 1.

Lets's calculate LCM of 71,694

Given numbers has no common factors except 1. So, there LCM is their product i.e 49274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49274

Therefore, the GCF of Fractions 2179/71,8124/694 is 1/49274

Least Common Multiple of 71,694 with GCF Formula

Least Common Multiple of 71,694 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 71,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,694) = 1

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

GCF(71,694) x common factors =1 x 1 = 1

LCM(71,694) = ( 71 × 694 ) / 1

LCM(71,694) = 49274 / 1

LCM(71,694) = 49274


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 2179/71, 8124/694

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 2179/71, 8124/694?

Answer: GCF of Numerators as per given numbers 2179/71, 8124/694 is

GCF of Numerators i.e. for 2179,8124 is 1

LCM of denominators i.e. for 71,694 is 49274.

Thus, GCF of Fractions is 1/49274.Finally, GCF of Fractions for 2179/71, 8124/694 is 1/49274.