Greatest Common Factor of 1876/124, 7880/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1876/124, 7880/492

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 1876/124,7880/492

Given fractions are 1876/124,7880/492

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 1876,7880

Greatest Common Factor of Numerators i.e. GCF of 1876,7880 is 4 .

LCM of Denominators means LCM of 124,492 as per the given fractions.

LCM of 124,492 is 15252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1876,7880

GCF of Fractions 1876/124,7880/492 is 4/15252

2 1876, 7880
2 938, 3940
469, 1970

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1876,7880 By Matching Biggest Common Factor Method

Greatest Common Factor of 1876,7880 By Matching Biggest Common Factor Method

Factors of 1876

List of positive integer factors of 1876 that divides 1876 without a remainder.

1,2,4,7,14,28,67,134,268,469,938,1876

Factors of 7880

List of positive integer factors of 7880 that divides 7880 without a remainder.

1,2,4,5,8,10,20,40,197,394,788,985,1576,1970,3940,7880

Greatest Common Factor

We found the factors 1876,7880 . The biggest common factor number is the GCF number.
So the greatest common factor 1876,7880 is 4.

Lets's calculate LCM of 124,492

2 124, 492
2 62, 246
31, 123

∴ So the LCM of the given numbers is 2 x 2 x 31 x 123 = 15252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15252

Therefore, the GCF of Fractions 1876/124,7880/492 is 4/15252

Least Common Multiple of 124,492 with GCF Formula

Least Common Multiple of 124,492 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 124,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,492) = 4

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

GCF(124,492) x common factors =4 x 1 = 4

LCM(124,492) = ( 124 × 492 ) / 4

LCM(124,492) = 61008 / 4

LCM(124,492) = 15252


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 1876/124, 7880/492

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 1876/124, 7880/492?

Answer: GCF of Numerators as per given numbers 1876/124, 7880/492 is

GCF of Numerators i.e. for 1876,7880 is 4

LCM of denominators i.e. for 124,492 is 15252.

Thus, GCF of Fractions is 4/15252.Finally, GCF of Fractions for 1876/124, 7880/492 is 4/15252.