Greatest Common Factor of 1/54, 63/22, 91/484, 973/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/54, 63/22, 91/484, 973/875

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 1/54,63/22,91/484,973/875

Given fractions are 1/54,63/22,91/484,973/875

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 1,63,91,973

Greatest Common Factor of Numerators i.e. GCF of 1,63,91,973 is 1 .

LCM of Denominators means LCM of 54,22,484,875 as per the given fractions.

LCM of 54,22,484,875 is 11434500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,63,91,973

GCF of Fractions 1/54,63/22,91/484,973/875 is 1/11434500

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

Greatest Common Factor of 1,63,91,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,63,91,973 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 1,63,91,973 . The biggest common factor number is the GCF number.
So the greatest common factor 1,63,91,973 is 1.

Lets's calculate LCM of 54,22,484,875

2 54, 22, 484, 875
11 27, 11, 242, 875
27, 1, 22, 875

∴ So the LCM of the given numbers is 2 x 11 x 27 x 1 x 22 x 875 = 11434500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11434500

Therefore, the GCF of Fractions 1/54,63/22,91/484,973/875 is 1/11434500

Least Common Multiple of 54,22,484,875 with GCF Formula

Least Common Multiple of 54,22,484,875 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 54,22,484,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,22,484,875) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(54,22,484,875) x common factors =1 x 44 = 44

LCM(54,22,484,875) = ( 54 × 22 × 484 × 875 ) / 44

LCM(54,22,484,875) = 503118000 / 44

LCM(54,22,484,875) = 11434500


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 1/54, 63/22, 91/484, 973/875

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 1/54, 63/22, 91/484, 973/875?

Answer: GCF of Numerators as per given numbers 1/54, 63/22, 91/484, 973/875 is

GCF of Numerators i.e. for 1,63,91,973 is 1

LCM of denominators i.e. for 54,22,484,875 is 11434500.

Thus, GCF of Fractions is 1/11434500.Finally, GCF of Fractions for 1/54, 63/22, 91/484, 973/875 is 1/11434500.