Greatest Common Factor of 9125/473, 7675/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9125/473, 7675/808

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 9125/473,7675/808

Given fractions are 9125/473,7675/808

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 9125,7675

Greatest Common Factor of Numerators i.e. GCF of 9125,7675 is 25 .

LCM of Denominators means LCM of 473,808 as per the given fractions.

LCM of 473,808 is 382184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9125,7675

GCF of Fractions 9125/473,7675/808 is 25/382184

5 9125, 7675
5 1825, 1535
365, 307

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 9125,7675 By Matching Biggest Common Factor Method

Greatest Common Factor of 9125,7675 By Matching Biggest Common Factor Method

Factors of 9125

List of positive integer factors of 9125 that divides 9125 without a remainder.

1,5,25,73,125,365,1825,9125

Factors of 7675

List of positive integer factors of 7675 that divides 7675 without a remainder.

1,5,25,307,1535,7675

Greatest Common Factor

We found the factors 9125,7675 . The biggest common factor number is the GCF number.
So the greatest common factor 9125,7675 is 25.

Lets's calculate LCM of 473,808

Given numbers has no common factors except 1. So, there LCM is their product i.e 382184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/382184

Therefore, the GCF of Fractions 9125/473,7675/808 is 25/382184

Least Common Multiple of 473,808 with GCF Formula

Least Common Multiple of 473,808 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 473,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,808) = 1

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

GCF(473,808) x common factors =1 x 1 = 1

LCM(473,808) = ( 473 × 808 ) / 1

LCM(473,808) = 382184 / 1

LCM(473,808) = 382184


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 9125/473, 7675/808

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 9125/473, 7675/808?

Answer: GCF of Numerators as per given numbers 9125/473, 7675/808 is

GCF of Numerators i.e. for 9125,7675 is 25

LCM of denominators i.e. for 473,808 is 382184.

Thus, GCF of Fractions is 25/382184.Finally, GCF of Fractions for 9125/473, 7675/808 is 25/382184.