Greatest Common Factor of 9525/66, 7631/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9525/66, 7631/178

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 9525/66,7631/178

Given fractions are 9525/66,7631/178

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 9525,7631

Greatest Common Factor of Numerators i.e. GCF of 9525,7631 is 1 .

LCM of Denominators means LCM of 66,178 as per the given fractions.

LCM of 66,178 is 5874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9525,7631

GCF of Fractions 9525/66,7631/178 is 1/5874

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

Greatest Common Factor of 9525,7631 By Matching Biggest Common Factor Method

Greatest Common Factor of 9525,7631 By Matching Biggest Common Factor Method

Factors of 9525

List of positive integer factors of 9525 that divides 9525 without a remainder.

1,3,5,15,25,75,127,381,635,1905,3175,9525

Factors of 7631

List of positive integer factors of 7631 that divides 7631 without a remainder.

1,13,587,7631

Greatest Common Factor

We found the factors 9525,7631 . The biggest common factor number is the GCF number.
So the greatest common factor 9525,7631 is 1.

Lets's calculate LCM of 66,178

2 66, 178
33, 89

∴ So the LCM of the given numbers is 2 x 33 x 89 = 5874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5874

Therefore, the GCF of Fractions 9525/66,7631/178 is 1/5874

Least Common Multiple of 66,178 with GCF Formula

Least Common Multiple of 66,178 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 66,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,178) = 2

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

GCF(66,178) x common factors =2 x 1 = 2

LCM(66,178) = ( 66 × 178 ) / 2

LCM(66,178) = 11748 / 2

LCM(66,178) = 5874


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 9525/66, 7631/178

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 9525/66, 7631/178?

Answer: GCF of Numerators as per given numbers 9525/66, 7631/178 is

GCF of Numerators i.e. for 9525,7631 is 1

LCM of denominators i.e. for 66,178 is 5874.

Thus, GCF of Fractions is 1/5874.Finally, GCF of Fractions for 9525/66, 7631/178 is 1/5874.