Greatest Common Factor of 271/950, 765/547, 352/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 271/950, 765/547, 352/615

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 271/950,765/547,352/615

Given fractions are 271/950,765/547,352/615

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 271,765,352

Greatest Common Factor of Numerators i.e. GCF of 271,765,352 is 1 .

LCM of Denominators means LCM of 950,547,615 as per the given fractions.

LCM of 950,547,615 is 63916950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 271,765,352

GCF of Fractions 271/950,765/547,352/615 is 1/63916950

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

Greatest Common Factor of 271,765,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,765,352 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 271,765,352 . The biggest common factor number is the GCF number.
So the greatest common factor 271,765,352 is 1.

Lets's calculate LCM of 950,547,615

5 950, 547, 615
190, 547, 123

∴ So the LCM of the given numbers is 5 x 190 x 547 x 123 = 63916950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63916950

Therefore, the GCF of Fractions 271/950,765/547,352/615 is 1/63916950

Least Common Multiple of 950,547,615 with GCF Formula

Least Common Multiple of 950,547,615 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 950,547,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,547,615) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(950,547,615) x common factors =1 x 5 = 5

LCM(950,547,615) = ( 950 × 547 × 615 ) / 5

LCM(950,547,615) = 319584750 / 5

LCM(950,547,615) = 63916950


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 271/950, 765/547, 352/615

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 271/950, 765/547, 352/615?

Answer: GCF of Numerators as per given numbers 271/950, 765/547, 352/615 is

GCF of Numerators i.e. for 271,765,352 is 1

LCM of denominators i.e. for 950,547,615 is 63916950.

Thus, GCF of Fractions is 1/63916950.Finally, GCF of Fractions for 271/950, 765/547, 352/615 is 1/63916950.