Greatest Common Factor of 22/534, 54/663, 141/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/534, 54/663, 141/736

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 22/534,54/663,141/736

Given fractions are 22/534,54/663,141/736

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 22,54,141

Greatest Common Factor of Numerators i.e. GCF of 22,54,141 is 1 .

LCM of Denominators means LCM of 534,663,736 as per the given fractions.

LCM of 534,663,736 is 43429152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,54,141

GCF of Fractions 22/534,54/663,141/736 is 1/43429152

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

Greatest Common Factor of 22,54,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,54,141 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 22,54,141 . The biggest common factor number is the GCF number.
So the greatest common factor 22,54,141 is 1.

Lets's calculate LCM of 534,663,736

2 534, 663, 736
3 267, 663, 368
89, 221, 368

∴ So the LCM of the given numbers is 2 x 3 x 89 x 221 x 368 = 43429152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43429152

Therefore, the GCF of Fractions 22/534,54/663,141/736 is 1/43429152

Least Common Multiple of 534,663,736 with GCF Formula

Least Common Multiple of 534,663,736 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 534,663,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,663,736) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(534,663,736) x common factors =1 x 6 = 6

LCM(534,663,736) = ( 534 × 663 × 736 ) / 6

LCM(534,663,736) = 260574912 / 6

LCM(534,663,736) = 43429152


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 22/534, 54/663, 141/736

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 22/534, 54/663, 141/736?

Answer: GCF of Numerators as per given numbers 22/534, 54/663, 141/736 is

GCF of Numerators i.e. for 22,54,141 is 1

LCM of denominators i.e. for 534,663,736 is 43429152.

Thus, GCF of Fractions is 1/43429152.Finally, GCF of Fractions for 22/534, 54/663, 141/736 is 1/43429152.