Greatest Common Factor of 22/20, 908/99, 504/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/20, 908/99, 504/253

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 22/20,908/99,504/253

Given fractions are 22/20,908/99,504/253

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 22,908,504

Greatest Common Factor of Numerators i.e. GCF of 22,908,504 is 2 .

LCM of Denominators means LCM of 20,99,253 as per the given fractions.

LCM of 20,99,253 is 45540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,908,504

GCF of Fractions 22/20,908/99,504/253 is 2/45540

2 22, 908, 504
11, 454, 252

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

Greatest Common Factor of 22,908,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,908,504 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 22,908,504 . The biggest common factor number is the GCF number.
So the greatest common factor 22,908,504 is 2.

Lets's calculate LCM of 20,99,253

11 20, 99, 253
20, 9, 23

∴ So the LCM of the given numbers is 11 x 20 x 9 x 23 = 45540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45540

Therefore, the GCF of Fractions 22/20,908/99,504/253 is 2/45540

Least Common Multiple of 20,99,253 with GCF Formula

Least Common Multiple of 20,99,253 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 20,99,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,99,253) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(20,99,253) x common factors =1 x 11 = 11

LCM(20,99,253) = ( 20 × 99 × 253 ) / 11

LCM(20,99,253) = 500940 / 11

LCM(20,99,253) = 45540


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 22/20, 908/99, 504/253

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 22/20, 908/99, 504/253?

Answer: GCF of Numerators as per given numbers 22/20, 908/99, 504/253 is

GCF of Numerators i.e. for 22,908,504 is 2

LCM of denominators i.e. for 20,99,253 is 45540.

Thus, GCF of Fractions is 2/45540.Finally, GCF of Fractions for 22/20, 908/99, 504/253 is 2/45540.