Greatest Common Factor of 750/108, 4510/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 750/108, 4510/876

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 750/108,4510/876

Given fractions are 750/108,4510/876

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 750,4510

Greatest Common Factor of Numerators i.e. GCF of 750,4510 is 10 .

LCM of Denominators means LCM of 108,876 as per the given fractions.

LCM of 108,876 is 7884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 750,4510

GCF of Fractions 750/108,4510/876 is 10/7884

2 750, 4510
5 375, 2255
75, 451

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 750,4510 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,4510 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 4510

List of positive integer factors of 4510 that divides 4510 without a remainder.

1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510

Greatest Common Factor

We found the factors 750,4510 . The biggest common factor number is the GCF number.
So the greatest common factor 750,4510 is 10.

Lets's calculate LCM of 108,876

2 108, 876
2 54, 438
3 27, 219
9, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 73 = 7884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7884

Therefore, the GCF of Fractions 750/108,4510/876 is 10/7884

Least Common Multiple of 108,876 with GCF Formula

Least Common Multiple of 108,876 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 108,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,876) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(108,876) x common factors =12 x 1 = 12

LCM(108,876) = ( 108 × 876 ) / 12

LCM(108,876) = 94608 / 12

LCM(108,876) = 7884


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 750/108, 4510/876

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 750/108, 4510/876?

Answer: GCF of Numerators as per given numbers 750/108, 4510/876 is

GCF of Numerators i.e. for 750,4510 is 10

LCM of denominators i.e. for 108,876 is 7884.

Thus, GCF of Fractions is 10/7884.Finally, GCF of Fractions for 750/108, 4510/876 is 10/7884.