Greatest Common Factor of 8/25, 32/37, 75/299, 545/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/25, 32/37, 75/299, 545/520

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 8/25,32/37,75/299,545/520

Given fractions are 8/25,32/37,75/299,545/520

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 8,32,75,545

Greatest Common Factor of Numerators i.e. GCF of 8,32,75,545 is 1 .

LCM of Denominators means LCM of 25,37,299,520 as per the given fractions.

LCM of 25,37,299,520 is 2212600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,32,75,545

GCF of Fractions 8/25,32/37,75/299,545/520 is 1/2212600

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

Greatest Common Factor of 8,32,75,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,32,75,545 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 8,32,75,545 . The biggest common factor number is the GCF number.
So the greatest common factor 8,32,75,545 is 1.

Lets's calculate LCM of 25,37,299,520

5 25, 37, 299, 520
13 5, 37, 299, 104
5, 37, 23, 8

∴ So the LCM of the given numbers is 5 x 13 x 5 x 37 x 23 x 8 = 2212600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2212600

Therefore, the GCF of Fractions 8/25,32/37,75/299,545/520 is 1/2212600

Least Common Multiple of 25,37,299,520 with GCF Formula

Least Common Multiple of 25,37,299,520 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 25,37,299,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,37,299,520) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(25,37,299,520) x common factors =1 x 65 = 65

LCM(25,37,299,520) = ( 25 × 37 × 299 × 520 ) / 65

LCM(25,37,299,520) = 143819000 / 65

LCM(25,37,299,520) = 2212600


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 8/25, 32/37, 75/299, 545/520

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 8/25, 32/37, 75/299, 545/520?

Answer: GCF of Numerators as per given numbers 8/25, 32/37, 75/299, 545/520 is

GCF of Numerators i.e. for 8,32,75,545 is 1

LCM of denominators i.e. for 25,37,299,520 is 2212600.

Thus, GCF of Fractions is 1/2212600.Finally, GCF of Fractions for 8/25, 32/37, 75/299, 545/520 is 1/2212600.