Greatest Common Factor of 8972/67, 8302/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8972/67, 8302/145

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 8972/67,8302/145

Given fractions are 8972/67,8302/145

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 8972,8302

Greatest Common Factor of Numerators i.e. GCF of 8972,8302 is 2 .

LCM of Denominators means LCM of 67,145 as per the given fractions.

LCM of 67,145 is 9715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8972,8302

GCF of Fractions 8972/67,8302/145 is 2/9715

2 8972, 8302
4486, 4151

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8972,8302 By Matching Biggest Common Factor Method

Greatest Common Factor of 8972,8302 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 8302

List of positive integer factors of 8302 that divides 8302 without a remainder.

1,2,7,14,593,1186,4151,8302

Greatest Common Factor

We found the factors 8972,8302 . The biggest common factor number is the GCF number.
So the greatest common factor 8972,8302 is 2.

Lets's calculate LCM of 67,145

Given numbers has no common factors except 1. So, there LCM is their product i.e 9715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9715

Therefore, the GCF of Fractions 8972/67,8302/145 is 2/9715

Least Common Multiple of 67,145 with GCF Formula

Least Common Multiple of 67,145 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 67,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,145) = 1

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

GCF(67,145) x common factors =1 x 1 = 1

LCM(67,145) = ( 67 × 145 ) / 1

LCM(67,145) = 9715 / 1

LCM(67,145) = 9715


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 8972/67, 8302/145

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 8972/67, 8302/145?

Answer: GCF of Numerators as per given numbers 8972/67, 8302/145 is

GCF of Numerators i.e. for 8972,8302 is 2

LCM of denominators i.e. for 67,145 is 9715.

Thus, GCF of Fractions is 2/9715.Finally, GCF of Fractions for 8972/67, 8302/145 is 2/9715.