Greatest Common Factor of 3462/156, 2542/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3462/156, 2542/518

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 3462/156,2542/518

Given fractions are 3462/156,2542/518

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 3462,2542

Greatest Common Factor of Numerators i.e. GCF of 3462,2542 is 2 .

LCM of Denominators means LCM of 156,518 as per the given fractions.

LCM of 156,518 is 40404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3462,2542

GCF of Fractions 3462/156,2542/518 is 2/40404

2 3462, 2542
1731, 1271

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

Greatest Common Factor of 3462,2542 By Matching Biggest Common Factor Method

Greatest Common Factor of 3462,2542 By Matching Biggest Common Factor Method

Factors of 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1,2,3,6,577,1154,1731,3462

Factors of 2542

List of positive integer factors of 2542 that divides 2542 without a remainder.

1,2,31,41,62,82,1271,2542

Greatest Common Factor

We found the factors 3462,2542 . The biggest common factor number is the GCF number.
So the greatest common factor 3462,2542 is 2.

Lets's calculate LCM of 156,518

2 156, 518
78, 259

∴ So the LCM of the given numbers is 2 x 78 x 259 = 40404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40404

Therefore, the GCF of Fractions 3462/156,2542/518 is 2/40404

Least Common Multiple of 156,518 with GCF Formula

Least Common Multiple of 156,518 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 156,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,518) = 2

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

GCF(156,518) x common factors =2 x 1 = 2

LCM(156,518) = ( 156 × 518 ) / 2

LCM(156,518) = 80808 / 2

LCM(156,518) = 40404


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 3462/156, 2542/518

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 3462/156, 2542/518?

Answer: GCF of Numerators as per given numbers 3462/156, 2542/518 is

GCF of Numerators i.e. for 3462,2542 is 2

LCM of denominators i.e. for 156,518 is 40404.

Thus, GCF of Fractions is 2/40404.Finally, GCF of Fractions for 3462/156, 2542/518 is 2/40404.