Greatest Common Factor of 21/71, 394/56, 117/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/71, 394/56, 117/617

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 21/71,394/56,117/617

Given fractions are 21/71,394/56,117/617

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 21,394,117

Greatest Common Factor of Numerators i.e. GCF of 21,394,117 is 1 .

LCM of Denominators means LCM of 71,56,617 as per the given fractions.

LCM of 71,56,617 is 2453192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,394,117

GCF of Fractions 21/71,394/56,117/617 is 1/2453192

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

Greatest Common Factor of 21,394,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,394,117 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 21,394,117 . The biggest common factor number is the GCF number.
So the greatest common factor 21,394,117 is 1.

Lets's calculate LCM of 71,56,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 2453192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2453192

Therefore, the GCF of Fractions 21/71,394/56,117/617 is 1/2453192

Least Common Multiple of 71,56,617 with GCF Formula

Least Common Multiple of 71,56,617 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 71,56,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,56,617) = 1

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

GCF(71,56,617) x common factors =1 x 1 = 1

LCM(71,56,617) = ( 71 × 56 × 617 ) / 1

LCM(71,56,617) = 2453192 / 1

LCM(71,56,617) = 2453192


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 21/71, 394/56, 117/617

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 21/71, 394/56, 117/617?

Answer: GCF of Numerators as per given numbers 21/71, 394/56, 117/617 is

GCF of Numerators i.e. for 21,394,117 is 1

LCM of denominators i.e. for 71,56,617 is 2453192.

Thus, GCF of Fractions is 1/2453192.Finally, GCF of Fractions for 21/71, 394/56, 117/617 is 1/2453192.