Greatest Common Factor of 22/74, 483/27, 862/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/74, 483/27, 862/118

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 22/74,483/27,862/118

Given fractions are 22/74,483/27,862/118

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 22,483,862

Greatest Common Factor of Numerators i.e. GCF of 22,483,862 is 1 .

LCM of Denominators means LCM of 74,27,118 as per the given fractions.

LCM of 74,27,118 is 117882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,483,862

GCF of Fractions 22/74,483/27,862/118 is 1/117882

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

Greatest Common Factor of 22,483,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,483,862 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 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 22,483,862 . The biggest common factor number is the GCF number.
So the greatest common factor 22,483,862 is 1.

Lets's calculate LCM of 74,27,118

2 74, 27, 118
37, 27, 59

∴ So the LCM of the given numbers is 2 x 37 x 27 x 59 = 117882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117882

Therefore, the GCF of Fractions 22/74,483/27,862/118 is 1/117882

Least Common Multiple of 74,27,118 with GCF Formula

Least Common Multiple of 74,27,118 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 74,27,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,27,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,27,118) x common factors =1 x 2 = 2

LCM(74,27,118) = ( 74 × 27 × 118 ) / 2

LCM(74,27,118) = 235764 / 2

LCM(74,27,118) = 117882


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 22/74, 483/27, 862/118

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 22/74, 483/27, 862/118?

Answer: GCF of Numerators as per given numbers 22/74, 483/27, 862/118 is

GCF of Numerators i.e. for 22,483,862 is 1

LCM of denominators i.e. for 74,27,118 is 117882.

Thus, GCF of Fractions is 1/117882.Finally, GCF of Fractions for 22/74, 483/27, 862/118 is 1/117882.