Greatest Common Factor of 955/53, 566/60, 902/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 955/53, 566/60, 902/21

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 955/53,566/60,902/21

Given fractions are 955/53,566/60,902/21

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 955,566,902

Greatest Common Factor of Numerators i.e. GCF of 955,566,902 is 1 .

LCM of Denominators means LCM of 53,60,21 as per the given fractions.

LCM of 53,60,21 is 22260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 955,566,902

GCF of Fractions 955/53,566/60,902/21 is 1/22260

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

Greatest Common Factor of 955,566,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 955,566,902 By Matching Biggest Common Factor Method

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 955,566,902 . The biggest common factor number is the GCF number.
So the greatest common factor 955,566,902 is 1.

Lets's calculate LCM of 53,60,21

3 53, 60, 21
53, 20, 7

∴ So the LCM of the given numbers is 3 x 53 x 20 x 7 = 22260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22260

Therefore, the GCF of Fractions 955/53,566/60,902/21 is 1/22260

Least Common Multiple of 53,60,21 with GCF Formula

Least Common Multiple of 53,60,21 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 53,60,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,60,21) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(53,60,21) x common factors =1 x 3 = 3

LCM(53,60,21) = ( 53 × 60 × 21 ) / 3

LCM(53,60,21) = 66780 / 3

LCM(53,60,21) = 22260


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 955/53, 566/60, 902/21

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 955/53, 566/60, 902/21?

Answer: GCF of Numerators as per given numbers 955/53, 566/60, 902/21 is

GCF of Numerators i.e. for 955,566,902 is 1

LCM of denominators i.e. for 53,60,21 is 22260.

Thus, GCF of Fractions is 1/22260.Finally, GCF of Fractions for 955/53, 566/60, 902/21 is 1/22260.