Greatest Common Factor of 542/564, 1304/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/564, 1304/604

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 542/564,1304/604

Given fractions are 542/564,1304/604

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 542,1304

Greatest Common Factor of Numerators i.e. GCF of 542,1304 is 2 .

LCM of Denominators means LCM of 564,604 as per the given fractions.

LCM of 564,604 is 85164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,1304

GCF of Fractions 542/564,1304/604 is 2/85164

2 542, 1304
271, 652

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

Greatest Common Factor of 542,1304 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,1304 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 1304

List of positive integer factors of 1304 that divides 1304 without a remainder.

1,2,4,8,163,326,652,1304

Greatest Common Factor

We found the factors 542,1304 . The biggest common factor number is the GCF number.
So the greatest common factor 542,1304 is 2.

Lets's calculate LCM of 564,604

2 564, 604
2 282, 302
141, 151

∴ So the LCM of the given numbers is 2 x 2 x 141 x 151 = 85164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85164

Therefore, the GCF of Fractions 542/564,1304/604 is 2/85164

Least Common Multiple of 564,604 with GCF Formula

Least Common Multiple of 564,604 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 564,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,604) = 4

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

GCF(564,604) x common factors =4 x 1 = 4

LCM(564,604) = ( 564 × 604 ) / 4

LCM(564,604) = 340656 / 4

LCM(564,604) = 85164


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 542/564, 1304/604

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 542/564, 1304/604?

Answer: GCF of Numerators as per given numbers 542/564, 1304/604 is

GCF of Numerators i.e. for 542,1304 is 2

LCM of denominators i.e. for 564,604 is 85164.

Thus, GCF of Fractions is 2/85164.Finally, GCF of Fractions for 542/564, 1304/604 is 2/85164.