Greatest Common Factor of 5361/604, 6842/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5361/604, 6842/540

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 5361/604,6842/540

Given fractions are 5361/604,6842/540

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 5361,6842

Greatest Common Factor of Numerators i.e. GCF of 5361,6842 is 1 .

LCM of Denominators means LCM of 604,540 as per the given fractions.

LCM of 604,540 is 81540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5361,6842

GCF of Fractions 5361/604,6842/540 is 1/81540

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5361,6842 By Matching Biggest Common Factor Method

Greatest Common Factor of 5361,6842 By Matching Biggest Common Factor Method

Factors of 5361

List of positive integer factors of 5361 that divides 5361 without a remainder.

1,3,1787,5361

Factors of 6842

List of positive integer factors of 6842 that divides 6842 without a remainder.

1,2,11,22,311,622,3421,6842

Greatest Common Factor

We found the factors 5361,6842 . The biggest common factor number is the GCF number.
So the greatest common factor 5361,6842 is 1.

Lets's calculate LCM of 604,540

2 604, 540
2 302, 270
151, 135

∴ So the LCM of the given numbers is 2 x 2 x 151 x 135 = 81540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81540

Therefore, the GCF of Fractions 5361/604,6842/540 is 1/81540

Least Common Multiple of 604,540 with GCF Formula

Least Common Multiple of 604,540 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 604,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,540) = 4

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

GCF(604,540) x common factors =4 x 1 = 4

LCM(604,540) = ( 604 × 540 ) / 4

LCM(604,540) = 326160 / 4

LCM(604,540) = 81540


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 5361/604, 6842/540

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 5361/604, 6842/540?

Answer: GCF of Numerators as per given numbers 5361/604, 6842/540 is

GCF of Numerators i.e. for 5361,6842 is 1

LCM of denominators i.e. for 604,540 is 81540.

Thus, GCF of Fractions is 1/81540.Finally, GCF of Fractions for 5361/604, 6842/540 is 1/81540.