Greatest Common Factor of 4962/136, 6936/2710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4962/136, 6936/2710

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 4962/136,6936/2710

Given fractions are 4962/136,6936/2710

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 4962,6936

Greatest Common Factor of Numerators i.e. GCF of 4962,6936 is 6 .

LCM of Denominators means LCM of 136,2710 as per the given fractions.

LCM of 136,2710 is 184280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4962,6936

GCF of Fractions 4962/136,6936/2710 is 6/184280

2 4962, 6936
3 2481, 3468
827, 1156

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4962,6936 By Matching Biggest Common Factor Method

Greatest Common Factor of 4962,6936 By Matching Biggest Common Factor Method

Factors of 4962

List of positive integer factors of 4962 that divides 4962 without a remainder.

1,2,3,6,827,1654,2481,4962

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936

Greatest Common Factor

We found the factors 4962,6936 . The biggest common factor number is the GCF number.
So the greatest common factor 4962,6936 is 6.

Lets's calculate LCM of 136,2710

2 136, 2710
68, 1355

∴ So the LCM of the given numbers is 2 x 68 x 1355 = 184280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/184280

Therefore, the GCF of Fractions 4962/136,6936/2710 is 6/184280

Least Common Multiple of 136,2710 with GCF Formula

Least Common Multiple of 136,2710 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 136,2710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,2710) = 2

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

GCF(136,2710) x common factors =2 x 1 = 2

LCM(136,2710) = ( 136 × 2710 ) / 2

LCM(136,2710) = 368560 / 2

LCM(136,2710) = 184280


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 4962/136, 6936/2710

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 4962/136, 6936/2710?

Answer: GCF of Numerators as per given numbers 4962/136, 6936/2710 is

GCF of Numerators i.e. for 4962,6936 is 6

LCM of denominators i.e. for 136,2710 is 184280.

Thus, GCF of Fractions is 6/184280.Finally, GCF of Fractions for 4962/136, 6936/2710 is 6/184280.