Greatest Common Factor of 30/53, 50/20, 565/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/53, 50/20, 565/738

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 30/53,50/20,565/738

Given fractions are 30/53,50/20,565/738

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 30,50,565

Greatest Common Factor of Numerators i.e. GCF of 30,50,565 is 5 .

LCM of Denominators means LCM of 53,20,738 as per the given fractions.

LCM of 53,20,738 is 391140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,50,565

GCF of Fractions 30/53,50/20,565/738 is 5/391140

5 30, 50, 565
6, 10, 113

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

Greatest Common Factor of 30,50,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,50,565 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 30,50,565 . The biggest common factor number is the GCF number.
So the greatest common factor 30,50,565 is 5.

Lets's calculate LCM of 53,20,738

2 53, 20, 738
53, 10, 369

∴ So the LCM of the given numbers is 2 x 53 x 10 x 369 = 391140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/391140

Therefore, the GCF of Fractions 30/53,50/20,565/738 is 5/391140

Least Common Multiple of 53,20,738 with GCF Formula

Least Common Multiple of 53,20,738 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 53,20,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,20,738) = 1

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

GCF(53,20,738) x common factors =1 x 2 = 2

LCM(53,20,738) = ( 53 × 20 × 738 ) / 2

LCM(53,20,738) = 782280 / 2

LCM(53,20,738) = 391140


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 30/53, 50/20, 565/738

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 30/53, 50/20, 565/738?

Answer: GCF of Numerators as per given numbers 30/53, 50/20, 565/738 is

GCF of Numerators i.e. for 30,50,565 is 5

LCM of denominators i.e. for 53,20,738 is 391140.

Thus, GCF of Fractions is 5/391140.Finally, GCF of Fractions for 30/53, 50/20, 565/738 is 5/391140.