Greatest Common Factor of 541/60, 635/12, 555/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 541/60, 635/12, 555/561

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 541/60,635/12,555/561

Given fractions are 541/60,635/12,555/561

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 541,635,555

Greatest Common Factor of Numerators i.e. GCF of 541,635,555 is 1 .

LCM of Denominators means LCM of 60,12,561 as per the given fractions.

LCM of 60,12,561 is 11220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 541,635,555

GCF of Fractions 541/60,635/12,555/561 is 1/11220

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

Greatest Common Factor of 541,635,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,635,555 By Matching Biggest Common Factor Method

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 541,635,555 . The biggest common factor number is the GCF number.
So the greatest common factor 541,635,555 is 1.

Lets's calculate LCM of 60,12,561

2 60, 12, 561
2 30, 6, 561
3 15, 3, 561
5, 1, 187

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 187 = 11220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11220

Therefore, the GCF of Fractions 541/60,635/12,555/561 is 1/11220

Least Common Multiple of 60,12,561 with GCF Formula

Least Common Multiple of 60,12,561 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 60,12,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,12,561) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(60,12,561) x common factors =3 x 12 = 36

LCM(60,12,561) = ( 60 × 12 × 561 ) / 36

LCM(60,12,561) = 403920 / 36

LCM(60,12,561) = 11220


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 541/60, 635/12, 555/561

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 541/60, 635/12, 555/561?

Answer: GCF of Numerators as per given numbers 541/60, 635/12, 555/561 is

GCF of Numerators i.e. for 541,635,555 is 1

LCM of denominators i.e. for 60,12,561 is 11220.

Thus, GCF of Fractions is 1/11220.Finally, GCF of Fractions for 541/60, 635/12, 555/561 is 1/11220.