Greatest Common Factor of 25/10, 97/32, 76/41, 71/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/10, 97/32, 76/41, 71/500

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 25/10,97/32,76/41,71/500

Given fractions are 25/10,97/32,76/41,71/500

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 25,97,76,71

Greatest Common Factor of Numerators i.e. GCF of 25,97,76,71 is 1 .

LCM of Denominators means LCM of 10,32,41,500 as per the given fractions.

LCM of 10,32,41,500 is 164000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,97,76,71

GCF of Fractions 25/10,97/32,76/41,71/500 is 1/164000

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

Greatest Common Factor of 25,97,76,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,97,76,71 By Matching Biggest Common Factor Method

Factors of 25

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

1,5,25

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 25,97,76,71 . The biggest common factor number is the GCF number.
So the greatest common factor 25,97,76,71 is 1.

Lets's calculate LCM of 10,32,41,500

2 10, 32, 41, 500
2 5, 16, 41, 250
5 5, 8, 41, 125
1, 8, 41, 25

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 8 x 41 x 25 = 164000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164000

Therefore, the GCF of Fractions 25/10,97/32,76/41,71/500 is 1/164000

Least Common Multiple of 10,32,41,500 with GCF Formula

Least Common Multiple of 10,32,41,500 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 10,32,41,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,32,41,500) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(10,32,41,500) x common factors =1 x 40 = 40

LCM(10,32,41,500) = ( 10 × 32 × 41 × 500 ) / 40

LCM(10,32,41,500) = 6560000 / 40

LCM(10,32,41,500) = 164000


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 25/10, 97/32, 76/41, 71/500

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 25/10, 97/32, 76/41, 71/500?

Answer: GCF of Numerators as per given numbers 25/10, 97/32, 76/41, 71/500 is

GCF of Numerators i.e. for 25,97,76,71 is 1

LCM of denominators i.e. for 10,32,41,500 is 164000.

Thus, GCF of Fractions is 1/164000.Finally, GCF of Fractions for 25/10, 97/32, 76/41, 71/500 is 1/164000.