Greatest Common Factor of 903/71, 538/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/71, 538/276

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 903/71,538/276

Given fractions are 903/71,538/276

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 903,538

Greatest Common Factor of Numerators i.e. GCF of 903,538 is 1 .

LCM of Denominators means LCM of 71,276 as per the given fractions.

LCM of 71,276 is 19596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,538

GCF of Fractions 903/71,538/276 is 1/19596

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

Greatest Common Factor of 903,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,538 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 538

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

1,2,269,538

Greatest Common Factor

We found the factors 903,538 . The biggest common factor number is the GCF number.
So the greatest common factor 903,538 is 1.

Lets's calculate LCM of 71,276

Given numbers has no common factors except 1. So, there LCM is their product i.e 19596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19596

Therefore, the GCF of Fractions 903/71,538/276 is 1/19596

Least Common Multiple of 71,276 with GCF Formula

Least Common Multiple of 71,276 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 71,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,276) = 1

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

GCF(71,276) x common factors =1 x 1 = 1

LCM(71,276) = ( 71 × 276 ) / 1

LCM(71,276) = 19596 / 1

LCM(71,276) = 19596


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 903/71, 538/276

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 903/71, 538/276?

Answer: GCF of Numerators as per given numbers 903/71, 538/276 is

GCF of Numerators i.e. for 903,538 is 1

LCM of denominators i.e. for 71,276 is 19596.

Thus, GCF of Fractions is 1/19596.Finally, GCF of Fractions for 903/71, 538/276 is 1/19596.