Greatest Common Factor of 8131/37, 9576/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8131/37, 9576/197

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 8131/37,9576/197

Given fractions are 8131/37,9576/197

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 8131,9576

Greatest Common Factor of Numerators i.e. GCF of 8131,9576 is 1 .

LCM of Denominators means LCM of 37,197 as per the given fractions.

LCM of 37,197 is 7289 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8131,9576

GCF of Fractions 8131/37,9576/197 is 1/7289

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

Greatest Common Factor of 8131,9576 By Matching Biggest Common Factor Method

Greatest Common Factor of 8131,9576 By Matching Biggest Common Factor Method

Factors of 8131

List of positive integer factors of 8131 that divides 8131 without a remainder.

1,47,173,8131

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576

Greatest Common Factor

We found the factors 8131,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 8131,9576 is 1.

Lets's calculate LCM of 37,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 7289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7289

Therefore, the GCF of Fractions 8131/37,9576/197 is 1/7289

Least Common Multiple of 37,197 with GCF Formula

Least Common Multiple of 37,197 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 37,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,197) = 1

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

GCF(37,197) x common factors =1 x 1 = 1

LCM(37,197) = ( 37 × 197 ) / 1

LCM(37,197) = 7289 / 1

LCM(37,197) = 7289


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 8131/37, 9576/197

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 8131/37, 9576/197?

Answer: GCF of Numerators as per given numbers 8131/37, 9576/197 is

GCF of Numerators i.e. for 8131,9576 is 1

LCM of denominators i.e. for 37,197 is 7289.

Thus, GCF of Fractions is 1/7289.Finally, GCF of Fractions for 8131/37, 9576/197 is 1/7289.