Greatest Common Factor of 4940/12, 7858/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4940/12, 7858/988

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 4940/12,7858/988

Given fractions are 4940/12,7858/988

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 4940,7858

Greatest Common Factor of Numerators i.e. GCF of 4940,7858 is 2 .

LCM of Denominators means LCM of 12,988 as per the given fractions.

LCM of 12,988 is 2964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4940,7858

GCF of Fractions 4940/12,7858/988 is 2/2964

2 4940, 7858
2470, 3929

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

Greatest Common Factor of 4940,7858 By Matching Biggest Common Factor Method

Greatest Common Factor of 4940,7858 By Matching Biggest Common Factor Method

Factors of 4940

List of positive integer factors of 4940 that divides 4940 without a remainder.

1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940

Factors of 7858

List of positive integer factors of 7858 that divides 7858 without a remainder.

1,2,3929,7858

Greatest Common Factor

We found the factors 4940,7858 . The biggest common factor number is the GCF number.
So the greatest common factor 4940,7858 is 2.

Lets's calculate LCM of 12,988

2 12, 988
2 6, 494
3, 247

∴ So the LCM of the given numbers is 2 x 2 x 3 x 247 = 2964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2964

Therefore, the GCF of Fractions 4940/12,7858/988 is 2/2964

Least Common Multiple of 12,988 with GCF Formula

Least Common Multiple of 12,988 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 12,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,988) = 4

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

GCF(12,988) x common factors =4 x 1 = 4

LCM(12,988) = ( 12 × 988 ) / 4

LCM(12,988) = 11856 / 4

LCM(12,988) = 2964


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 4940/12, 7858/988

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 4940/12, 7858/988?

Answer: GCF of Numerators as per given numbers 4940/12, 7858/988 is

GCF of Numerators i.e. for 4940,7858 is 2

LCM of denominators i.e. for 12,988 is 2964.

Thus, GCF of Fractions is 2/2964.Finally, GCF of Fractions for 4940/12, 7858/988 is 2/2964.