Greatest Common Factor of 9125/23, 8128/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9125/23, 8128/976

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 9125/23,8128/976

Given fractions are 9125/23,8128/976

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 9125,8128

Greatest Common Factor of Numerators i.e. GCF of 9125,8128 is 1 .

LCM of Denominators means LCM of 23,976 as per the given fractions.

LCM of 23,976 is 22448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9125,8128

GCF of Fractions 9125/23,8128/976 is 1/22448

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

Greatest Common Factor of 9125,8128 By Matching Biggest Common Factor Method

Greatest Common Factor of 9125,8128 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 8128

List of positive integer factors of 8128 that divides 8128 without a remainder.

1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128

Greatest Common Factor

We found the factors 9125,8128 . The biggest common factor number is the GCF number.
So the greatest common factor 9125,8128 is 1.

Lets's calculate LCM of 23,976

Given numbers has no common factors except 1. So, there LCM is their product i.e 22448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22448

Therefore, the GCF of Fractions 9125/23,8128/976 is 1/22448

Least Common Multiple of 23,976 with GCF Formula

Least Common Multiple of 23,976 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 23,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,976) = 1

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

GCF(23,976) x common factors =1 x 1 = 1

LCM(23,976) = ( 23 × 976 ) / 1

LCM(23,976) = 22448 / 1

LCM(23,976) = 22448


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 9125/23, 8128/976

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 9125/23, 8128/976?

Answer: GCF of Numerators as per given numbers 9125/23, 8128/976 is

GCF of Numerators i.e. for 9125,8128 is 1

LCM of denominators i.e. for 23,976 is 22448.

Thus, GCF of Fractions is 1/22448.Finally, GCF of Fractions for 9125/23, 8128/976 is 1/22448.