Greatest Common Factor of 8977/86, 2197/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8977/86, 2197/144

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 8977/86,2197/144

Given fractions are 8977/86,2197/144

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 8977,2197

Greatest Common Factor of Numerators i.e. GCF of 8977,2197 is 1 .

LCM of Denominators means LCM of 86,144 as per the given fractions.

LCM of 86,144 is 6192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8977,2197

GCF of Fractions 8977/86,2197/144 is 1/6192

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

Greatest Common Factor of 8977,2197 By Matching Biggest Common Factor Method

Greatest Common Factor of 8977,2197 By Matching Biggest Common Factor Method

Factors of 8977

List of positive integer factors of 8977 that divides 8977 without a remainder.

1,47,191,8977

Factors of 2197

List of positive integer factors of 2197 that divides 2197 without a remainder.

1,13,169,2197

Greatest Common Factor

We found the factors 8977,2197 . The biggest common factor number is the GCF number.
So the greatest common factor 8977,2197 is 1.

Lets's calculate LCM of 86,144

2 86, 144
43, 72

∴ So the LCM of the given numbers is 2 x 43 x 72 = 6192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6192

Therefore, the GCF of Fractions 8977/86,2197/144 is 1/6192

Least Common Multiple of 86,144 with GCF Formula

Least Common Multiple of 86,144 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 86,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,144) = 2

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

GCF(86,144) x common factors =2 x 1 = 2

LCM(86,144) = ( 86 × 144 ) / 2

LCM(86,144) = 12384 / 2

LCM(86,144) = 6192


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 8977/86, 2197/144

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 8977/86, 2197/144?

Answer: GCF of Numerators as per given numbers 8977/86, 2197/144 is

GCF of Numerators i.e. for 8977,2197 is 1

LCM of denominators i.e. for 86,144 is 6192.

Thus, GCF of Fractions is 1/6192.Finally, GCF of Fractions for 8977/86, 2197/144 is 1/6192.