Greatest Common Factor of 20/50, 72/28, 761/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/50, 72/28, 761/602

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 20/50,72/28,761/602

Given fractions are 20/50,72/28,761/602

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 20,72,761

Greatest Common Factor of Numerators i.e. GCF of 20,72,761 is 1 .

LCM of Denominators means LCM of 50,28,602 as per the given fractions.

LCM of 50,28,602 is 30100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,72,761

GCF of Fractions 20/50,72/28,761/602 is 1/30100

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

Greatest Common Factor of 20,72,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,72,761 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 20,72,761 . The biggest common factor number is the GCF number.
So the greatest common factor 20,72,761 is 1.

Lets's calculate LCM of 50,28,602

2 50, 28, 602
7 25, 14, 301
25, 2, 43

∴ So the LCM of the given numbers is 2 x 7 x 25 x 2 x 43 = 30100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30100

Therefore, the GCF of Fractions 20/50,72/28,761/602 is 1/30100

Least Common Multiple of 50,28,602 with GCF Formula

Least Common Multiple of 50,28,602 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 50,28,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,28,602) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(50,28,602) x common factors =2 x 14 = 28

LCM(50,28,602) = ( 50 × 28 × 602 ) / 28

LCM(50,28,602) = 842800 / 28

LCM(50,28,602) = 30100


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 20/50, 72/28, 761/602

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 20/50, 72/28, 761/602?

Answer: GCF of Numerators as per given numbers 20/50, 72/28, 761/602 is

GCF of Numerators i.e. for 20,72,761 is 1

LCM of denominators i.e. for 50,28,602 is 30100.

Thus, GCF of Fractions is 1/30100.Finally, GCF of Fractions for 20/50, 72/28, 761/602 is 1/30100.