Greatest Common Factor of 2752/380, 4968/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2752/380, 4968/988

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 2752/380,4968/988

Given fractions are 2752/380,4968/988

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 2752,4968

Greatest Common Factor of Numerators i.e. GCF of 2752,4968 is 8 .

LCM of Denominators means LCM of 380,988 as per the given fractions.

LCM of 380,988 is 4940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2752,4968

GCF of Fractions 2752/380,4968/988 is 8/4940

2 2752, 4968
2 1376, 2484
2 688, 1242
344, 621

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2752,4968 By Matching Biggest Common Factor Method

Greatest Common Factor of 2752,4968 By Matching Biggest Common Factor Method

Factors of 2752

List of positive integer factors of 2752 that divides 2752 without a remainder.

1,2,4,8,16,32,43,64,86,172,344,688,1376,2752

Factors of 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968

Greatest Common Factor

We found the factors 2752,4968 . The biggest common factor number is the GCF number.
So the greatest common factor 2752,4968 is 8.

Lets's calculate LCM of 380,988

2 380, 988
2 190, 494
19 95, 247
5, 13

∴ So the LCM of the given numbers is 2 x 2 x 19 x 5 x 13 = 4940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4940

Therefore, the GCF of Fractions 2752/380,4968/988 is 8/4940

Least Common Multiple of 380,988 with GCF Formula

Least Common Multiple of 380,988 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 380,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,988) = 76

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

GCF(380,988) x common factors =76 x 1 = 76

LCM(380,988) = ( 380 × 988 ) / 76

LCM(380,988) = 375440 / 76

LCM(380,988) = 4940


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 2752/380, 4968/988

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 2752/380, 4968/988?

Answer: GCF of Numerators as per given numbers 2752/380, 4968/988 is

GCF of Numerators i.e. for 2752,4968 is 8

LCM of denominators i.e. for 380,988 is 4940.

Thus, GCF of Fractions is 8/4940.Finally, GCF of Fractions for 2752/380, 4968/988 is 8/4940.