Greatest Common Factor of 8972/23, 9175/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8972/23, 9175/838

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 8972/23,9175/838

Given fractions are 8972/23,9175/838

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 8972,9175

Greatest Common Factor of Numerators i.e. GCF of 8972,9175 is 1 .

LCM of Denominators means LCM of 23,838 as per the given fractions.

LCM of 23,838 is 19274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8972,9175

GCF of Fractions 8972/23,9175/838 is 1/19274

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

Greatest Common Factor of 8972,9175 By Matching Biggest Common Factor Method

Greatest Common Factor of 8972,9175 By Matching Biggest Common Factor Method

Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1,2,4,2243,4486,8972

Factors of 9175

List of positive integer factors of 9175 that divides 9175 without a remainder.

1,5,25,367,1835,9175

Greatest Common Factor

We found the factors 8972,9175 . The biggest common factor number is the GCF number.
So the greatest common factor 8972,9175 is 1.

Lets's calculate LCM of 23,838

Given numbers has no common factors except 1. So, there LCM is their product i.e 19274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19274

Therefore, the GCF of Fractions 8972/23,9175/838 is 1/19274

Least Common Multiple of 23,838 with GCF Formula

Least Common Multiple of 23,838 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 23,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,838) = 1

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

GCF(23,838) x common factors =1 x 1 = 1

LCM(23,838) = ( 23 × 838 ) / 1

LCM(23,838) = 19274 / 1

LCM(23,838) = 19274


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 8972/23, 9175/838

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 8972/23, 9175/838?

Answer: GCF of Numerators as per given numbers 8972/23, 9175/838 is

GCF of Numerators i.e. for 8972,9175 is 1

LCM of denominators i.e. for 23,838 is 19274.

Thus, GCF of Fractions is 1/19274.Finally, GCF of Fractions for 8972/23, 9175/838 is 1/19274.