Greatest Common Factor of 63/37, 73/27, 524/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 63/37, 73/27, 524/791

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 63/37,73/27,524/791

Given fractions are 63/37,73/27,524/791

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 63,73,524

Greatest Common Factor of Numerators i.e. GCF of 63,73,524 is 1 .

LCM of Denominators means LCM of 37,27,791 as per the given fractions.

LCM of 37,27,791 is 790209 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,73,524

GCF of Fractions 63/37,73/27,524/791 is 1/790209

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

Greatest Common Factor of 63,73,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,73,524 By Matching Biggest Common Factor Method

Factors of 63

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

1,3,7,9,21,63

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 63,73,524 . The biggest common factor number is the GCF number.
So the greatest common factor 63,73,524 is 1.


Lets's calculate LCM of 37,27,791

Given numbers has no common factors except 1. So, there LCM is their product i.e 790209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/790209

Therefore, the GCF of Fractions 63/37,73/27,524/791 is 1/790209

Least Common Multiple of 37,27,791 with GCF Formula

Least Common Multiple of 37,27,791 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 37,27,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,27,791) = 1

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

GCF(37,27,791) x common factors =1 x 1 = 1

LCM(37,27,791) = ( 37 × 27 × 791 ) / 1

LCM(37,27,791) = 790209 / 1

LCM(37,27,791) = 790209


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 63/37, 73/27, 524/791

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 63/37, 73/27, 524/791?

Answer: GCF of Numerators as per given numbers 63/37, 73/27, 524/791 is

GCF of Numerators i.e. for 63,73,524 is 1

LCM of denominators i.e. for 37,27,791 is 790209.

Thus, GCF of Fractions is 1/790209.Finally, GCF of Fractions for 63/37, 73/27, 524/791 is 1/790209.