Greatest Common Factor of 542/869, 656/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/869, 656/498

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 542/869,656/498

Given fractions are 542/869,656/498

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 542,656

Greatest Common Factor of Numerators i.e. GCF of 542,656 is 2 .

LCM of Denominators means LCM of 869,498 as per the given fractions.

LCM of 869,498 is 432762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,656

GCF of Fractions 542/869,656/498 is 2/432762

2 542, 656
271, 328

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

Greatest Common Factor of 542,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,656 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 542,656 . The biggest common factor number is the GCF number.
So the greatest common factor 542,656 is 2.

Lets's calculate LCM of 869,498

Given numbers has no common factors except 1. So, there LCM is their product i.e 432762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/432762

Therefore, the GCF of Fractions 542/869,656/498 is 2/432762

Least Common Multiple of 869,498 with GCF Formula

Least Common Multiple of 869,498 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 869,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,498) = 1

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

GCF(869,498) x common factors =1 x 1 = 1

LCM(869,498) = ( 869 × 498 ) / 1

LCM(869,498) = 432762 / 1

LCM(869,498) = 432762


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 542/869, 656/498

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 542/869, 656/498?

Answer: GCF of Numerators as per given numbers 542/869, 656/498 is

GCF of Numerators i.e. for 542,656 is 2

LCM of denominators i.e. for 869,498 is 432762.

Thus, GCF of Fractions is 2/432762.Finally, GCF of Fractions for 542/869, 656/498 is 2/432762.