Greatest Common Factor of 87/249, 21/719, 271/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/249, 21/719, 271/728

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 87/249,21/719,271/728

Given fractions are 87/249,21/719,271/728

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 87,21,271

Greatest Common Factor of Numerators i.e. GCF of 87,21,271 is 1 .

LCM of Denominators means LCM of 249,719,728 as per the given fractions.

LCM of 249,719,728 is 130334568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,21,271

GCF of Fractions 87/249,21/719,271/728 is 1/130334568

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

Greatest Common Factor of 87,21,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,21,271 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 271

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

1,271

Greatest Common Factor

We found the factors 87,21,271 . The biggest common factor number is the GCF number.
So the greatest common factor 87,21,271 is 1.

Lets's calculate LCM of 249,719,728

Given numbers has no common factors except 1. So, there LCM is their product i.e 130334568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130334568

Therefore, the GCF of Fractions 87/249,21/719,271/728 is 1/130334568

Least Common Multiple of 249,719,728 with GCF Formula

Least Common Multiple of 249,719,728 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 249,719,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,719,728) = 1

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

GCF(249,719,728) x common factors =1 x 1 = 1

LCM(249,719,728) = ( 249 × 719 × 728 ) / 1

LCM(249,719,728) = 130334568 / 1

LCM(249,719,728) = 130334568


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 87/249, 21/719, 271/728

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 87/249, 21/719, 271/728?

Answer: GCF of Numerators as per given numbers 87/249, 21/719, 271/728 is

GCF of Numerators i.e. for 87,21,271 is 1

LCM of denominators i.e. for 249,719,728 is 130334568.

Thus, GCF of Fractions is 1/130334568.Finally, GCF of Fractions for 87/249, 21/719, 271/728 is 1/130334568.