Greatest Common Factor of 8174/404, 1195/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8174/404, 1195/137

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 8174/404,1195/137

Given fractions are 8174/404,1195/137

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 8174,1195

Greatest Common Factor of Numerators i.e. GCF of 8174,1195 is 1 .

LCM of Denominators means LCM of 404,137 as per the given fractions.

LCM of 404,137 is 55348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8174,1195

GCF of Fractions 8174/404,1195/137 is 1/55348

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

Greatest Common Factor of 8174,1195 By Matching Biggest Common Factor Method

Greatest Common Factor of 8174,1195 By Matching Biggest Common Factor Method

Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1,2,61,67,122,134,4087,8174

Factors of 1195

List of positive integer factors of 1195 that divides 1195 without a remainder.

1,5,239,1195

Greatest Common Factor

We found the factors 8174,1195 . The biggest common factor number is the GCF number.
So the greatest common factor 8174,1195 is 1.

Lets's calculate LCM of 404,137

Given numbers has no common factors except 1. So, there LCM is their product i.e 55348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55348

Therefore, the GCF of Fractions 8174/404,1195/137 is 1/55348

Least Common Multiple of 404,137 with GCF Formula

Least Common Multiple of 404,137 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 404,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,137) = 1

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

GCF(404,137) x common factors =1 x 1 = 1

LCM(404,137) = ( 404 × 137 ) / 1

LCM(404,137) = 55348 / 1

LCM(404,137) = 55348


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 8174/404, 1195/137

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 8174/404, 1195/137?

Answer: GCF of Numerators as per given numbers 8174/404, 1195/137 is

GCF of Numerators i.e. for 8174,1195 is 1

LCM of denominators i.e. for 404,137 is 55348.

Thus, GCF of Fractions is 1/55348.Finally, GCF of Fractions for 8174/404, 1195/137 is 1/55348.