Greatest Common Factor of 75/51, 59/40, 910/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/51, 59/40, 910/876

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 75/51,59/40,910/876

Given fractions are 75/51,59/40,910/876

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 75,59,910

Greatest Common Factor of Numerators i.e. GCF of 75,59,910 is 1 .

LCM of Denominators means LCM of 51,40,876 as per the given fractions.

LCM of 51,40,876 is 148920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,59,910

GCF of Fractions 75/51,59/40,910/876 is 1/148920

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

Greatest Common Factor of 75,59,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,59,910 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 75,59,910 . The biggest common factor number is the GCF number.
So the greatest common factor 75,59,910 is 1.

Lets's calculate LCM of 51,40,876

2 51, 40, 876
2 51, 20, 438
3 51, 10, 219
17, 10, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 10 x 73 = 148920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148920

Therefore, the GCF of Fractions 75/51,59/40,910/876 is 1/148920

Least Common Multiple of 51,40,876 with GCF Formula

Least Common Multiple of 51,40,876 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 51,40,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,40,876) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(51,40,876) x common factors =1 x 12 = 12

LCM(51,40,876) = ( 51 × 40 × 876 ) / 12

LCM(51,40,876) = 1787040 / 12

LCM(51,40,876) = 148920


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 75/51, 59/40, 910/876

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 75/51, 59/40, 910/876?

Answer: GCF of Numerators as per given numbers 75/51, 59/40, 910/876 is

GCF of Numerators i.e. for 75,59,910 is 1

LCM of denominators i.e. for 51,40,876 is 148920.

Thus, GCF of Fractions is 1/148920.Finally, GCF of Fractions for 75/51, 59/40, 910/876 is 1/148920.