Greatest Common Factor of 4138/292, 5542/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4138/292, 5542/486

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 4138/292,5542/486

Given fractions are 4138/292,5542/486

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 4138,5542

Greatest Common Factor of Numerators i.e. GCF of 4138,5542 is 2 .

LCM of Denominators means LCM of 292,486 as per the given fractions.

LCM of 292,486 is 70956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4138,5542

GCF of Fractions 4138/292,5542/486 is 2/70956

2 4138, 5542
2069, 2771

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

Greatest Common Factor of 4138,5542 By Matching Biggest Common Factor Method

Greatest Common Factor of 4138,5542 By Matching Biggest Common Factor Method

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1,2,2069,4138

Factors of 5542

List of positive integer factors of 5542 that divides 5542 without a remainder.

1,2,17,34,163,326,2771,5542

Greatest Common Factor

We found the factors 4138,5542 . The biggest common factor number is the GCF number.
So the greatest common factor 4138,5542 is 2.

Lets's calculate LCM of 292,486

2 292, 486
146, 243

∴ So the LCM of the given numbers is 2 x 146 x 243 = 70956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70956

Therefore, the GCF of Fractions 4138/292,5542/486 is 2/70956

Least Common Multiple of 292,486 with GCF Formula

Least Common Multiple of 292,486 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 292,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,486) = 2

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

GCF(292,486) x common factors =2 x 1 = 2

LCM(292,486) = ( 292 × 486 ) / 2

LCM(292,486) = 141912 / 2

LCM(292,486) = 70956


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 4138/292, 5542/486

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 4138/292, 5542/486?

Answer: GCF of Numerators as per given numbers 4138/292, 5542/486 is

GCF of Numerators i.e. for 4138,5542 is 2

LCM of denominators i.e. for 292,486 is 70956.

Thus, GCF of Fractions is 2/70956.Finally, GCF of Fractions for 4138/292, 5542/486 is 2/70956.