Greatest Common Factor of 8530/75, 7692/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8530/75, 7692/110

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 8530/75,7692/110

Given fractions are 8530/75,7692/110

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 8530,7692

Greatest Common Factor of Numerators i.e. GCF of 8530,7692 is 2 .

LCM of Denominators means LCM of 75,110 as per the given fractions.

LCM of 75,110 is 1650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8530,7692

GCF of Fractions 8530/75,7692/110 is 2/1650

2 8530, 7692
4265, 3846

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8530,7692 By Matching Biggest Common Factor Method

Greatest Common Factor of 8530,7692 By Matching Biggest Common Factor Method

Factors of 8530

List of positive integer factors of 8530 that divides 8530 without a remainder.

1,2,5,10,853,1706,4265,8530

Factors of 7692

List of positive integer factors of 7692 that divides 7692 without a remainder.

1,2,3,4,6,12,641,1282,1923,2564,3846,7692

Greatest Common Factor

We found the factors 8530,7692 . The biggest common factor number is the GCF number.
So the greatest common factor 8530,7692 is 2.

Lets's calculate LCM of 75,110

5 75, 110
15, 22

∴ So the LCM of the given numbers is 5 x 15 x 22 = 1650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1650

Therefore, the GCF of Fractions 8530/75,7692/110 is 2/1650

Least Common Multiple of 75,110 with GCF Formula

Least Common Multiple of 75,110 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 75,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,110) = 5

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

GCF(75,110) x common factors =5 x 1 = 5

LCM(75,110) = ( 75 × 110 ) / 5

LCM(75,110) = 8250 / 5

LCM(75,110) = 1650


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 8530/75, 7692/110

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 8530/75, 7692/110?

Answer: GCF of Numerators as per given numbers 8530/75, 7692/110 is

GCF of Numerators i.e. for 8530,7692 is 2

LCM of denominators i.e. for 75,110 is 1650.

Thus, GCF of Fractions is 2/1650.Finally, GCF of Fractions for 8530/75, 7692/110 is 2/1650.