Greatest Common Factor of 8375/71, 1308/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8375/71, 1308/153

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 8375/71,1308/153

Given fractions are 8375/71,1308/153

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 8375,1308

Greatest Common Factor of Numerators i.e. GCF of 8375,1308 is 1 .

LCM of Denominators means LCM of 71,153 as per the given fractions.

LCM of 71,153 is 10863 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8375,1308

GCF of Fractions 8375/71,1308/153 is 1/10863

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

Greatest Common Factor of 8375,1308 By Matching Biggest Common Factor Method

Greatest Common Factor of 8375,1308 By Matching Biggest Common Factor Method

Factors of 8375

List of positive integer factors of 8375 that divides 8375 without a remainder.

1,5,25,67,125,335,1675,8375

Factors of 1308

List of positive integer factors of 1308 that divides 1308 without a remainder.

1,2,3,4,6,12,109,218,327,436,654,1308

Greatest Common Factor

We found the factors 8375,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 8375,1308 is 1.

Lets's calculate LCM of 71,153

Given numbers has no common factors except 1. So, there LCM is their product i.e 10863

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10863

Therefore, the GCF of Fractions 8375/71,1308/153 is 1/10863

Least Common Multiple of 71,153 with GCF Formula

Least Common Multiple of 71,153 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 71,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,153) = 1

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

GCF(71,153) x common factors =1 x 1 = 1

LCM(71,153) = ( 71 × 153 ) / 1

LCM(71,153) = 10863 / 1

LCM(71,153) = 10863


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 8375/71, 1308/153

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 8375/71, 1308/153?

Answer: GCF of Numerators as per given numbers 8375/71, 1308/153 is

GCF of Numerators i.e. for 8375,1308 is 1

LCM of denominators i.e. for 71,153 is 10863.

Thus, GCF of Fractions is 1/10863.Finally, GCF of Fractions for 8375/71, 1308/153 is 1/10863.