Greatest Common Factor of 54/37, 77/20, 595/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/37, 77/20, 595/217

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 54/37,77/20,595/217

Given fractions are 54/37,77/20,595/217

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 54,77,595

Greatest Common Factor of Numerators i.e. GCF of 54,77,595 is 1 .

LCM of Denominators means LCM of 37,20,217 as per the given fractions.

LCM of 37,20,217 is 160580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,77,595

GCF of Fractions 54/37,77/20,595/217 is 1/160580

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

Greatest Common Factor of 54,77,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,77,595 By Matching Biggest Common Factor Method

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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 54,77,595 . The biggest common factor number is the GCF number.
So the greatest common factor 54,77,595 is 1.

Lets's calculate LCM of 37,20,217

Given numbers has no common factors except 1. So, there LCM is their product i.e 160580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160580

Therefore, the GCF of Fractions 54/37,77/20,595/217 is 1/160580

Least Common Multiple of 37,20,217 with GCF Formula

Least Common Multiple of 37,20,217 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 37,20,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,20,217) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,20,217) x common factors =1 x 1 = 1

LCM(37,20,217) = ( 37 × 20 × 217 ) / 1

LCM(37,20,217) = 160580 / 1

LCM(37,20,217) = 160580


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 54/37, 77/20, 595/217

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 54/37, 77/20, 595/217?

Answer: GCF of Numerators as per given numbers 54/37, 77/20, 595/217 is

GCF of Numerators i.e. for 54,77,595 is 1

LCM of denominators i.e. for 37,20,217 is 160580.

Thus, GCF of Fractions is 1/160580.Finally, GCF of Fractions for 54/37, 77/20, 595/217 is 1/160580.