Greatest Common Factor of 38/57, 538/87, 793/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 38/57, 538/87, 793/657

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 38/57,538/87,793/657

Given fractions are 38/57,538/87,793/657

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 38,538,793

Greatest Common Factor of Numerators i.e. GCF of 38,538,793 is 1 .

LCM of Denominators means LCM of 57,87,657 as per the given fractions.

LCM of 57,87,657 is 362007 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,538,793

GCF of Fractions 38/57,538/87,793/657 is 1/362007

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

Greatest Common Factor of 38,538,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,538,793 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 38,538,793 . The biggest common factor number is the GCF number.
So the greatest common factor 38,538,793 is 1.


Lets's calculate LCM of 57,87,657

3 57, 87, 657
19, 29, 219

∴ So the LCM of the given numbers is 3 x 19 x 29 x 219 = 362007

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362007

Therefore, the GCF of Fractions 38/57,538/87,793/657 is 1/362007

Least Common Multiple of 57,87,657 with GCF Formula

Least Common Multiple of 57,87,657 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 57,87,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,87,657) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(57,87,657) x common factors =3 x 3 = 9

LCM(57,87,657) = ( 57 × 87 × 657 ) / 9

LCM(57,87,657) = 3258063 / 9

LCM(57,87,657) = 362007


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 38/57, 538/87, 793/657

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 38/57, 538/87, 793/657?

Answer: GCF of Numerators as per given numbers 38/57, 538/87, 793/657 is

GCF of Numerators i.e. for 38,538,793 is 1

LCM of denominators i.e. for 57,87,657 is 362007.

Thus, GCF of Fractions is 1/362007.Finally, GCF of Fractions for 38/57, 538/87, 793/657 is 1/362007.