Greatest Common Factor of 20/87, 25/344, 480/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/87, 25/344, 480/634

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 20/87,25/344,480/634

Given fractions are 20/87,25/344,480/634

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 20,25,480

Greatest Common Factor of Numerators i.e. GCF of 20,25,480 is 5 .

LCM of Denominators means LCM of 87,344,634 as per the given fractions.

LCM of 87,344,634 is 9487176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,25,480

GCF of Fractions 20/87,25/344,480/634 is 5/9487176

5 20, 25, 480
4, 5, 96

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 20,25,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,25,480 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 20,25,480 . The biggest common factor number is the GCF number.
So the greatest common factor 20,25,480 is 5.

Lets's calculate LCM of 87,344,634

2 87, 344, 634
87, 172, 317

∴ So the LCM of the given numbers is 2 x 87 x 172 x 317 = 9487176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9487176

Therefore, the GCF of Fractions 20/87,25/344,480/634 is 5/9487176

Least Common Multiple of 87,344,634 with GCF Formula

Least Common Multiple of 87,344,634 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 87,344,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,344,634) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,344,634) x common factors =1 x 2 = 2

LCM(87,344,634) = ( 87 × 344 × 634 ) / 2

LCM(87,344,634) = 18974352 / 2

LCM(87,344,634) = 9487176


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 20/87, 25/344, 480/634

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 20/87, 25/344, 480/634?

Answer: GCF of Numerators as per given numbers 20/87, 25/344, 480/634 is

GCF of Numerators i.e. for 20,25,480 is 5

LCM of denominators i.e. for 87,344,634 is 9487176.

Thus, GCF of Fractions is 5/9487176.Finally, GCF of Fractions for 20/87, 25/344, 480/634 is 5/9487176.