Greatest Common Factor of 7177/115, 3672/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7177/115, 3672/231

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 7177/115,3672/231

Given fractions are 7177/115,3672/231

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 7177,3672

Greatest Common Factor of Numerators i.e. GCF of 7177,3672 is 1 .

LCM of Denominators means LCM of 115,231 as per the given fractions.

LCM of 115,231 is 26565 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7177,3672

GCF of Fractions 7177/115,3672/231 is 1/26565

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

Greatest Common Factor of 7177,3672 By Matching Biggest Common Factor Method

Greatest Common Factor of 7177,3672 By Matching Biggest Common Factor Method

Factors of 7177

List of positive integer factors of 7177 that divides 7177 without a remainder.

1,7177

Factors of 3672

List of positive integer factors of 3672 that divides 3672 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,27,34,36,51,54,68,72,102,108,136,153,204,216,306,408,459,612,918,1224,1836,3672

Greatest Common Factor

We found the factors 7177,3672 . The biggest common factor number is the GCF number.
So the greatest common factor 7177,3672 is 1.

Lets's calculate LCM of 115,231

Given numbers has no common factors except 1. So, there LCM is their product i.e 26565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26565

Therefore, the GCF of Fractions 7177/115,3672/231 is 1/26565

Least Common Multiple of 115,231 with GCF Formula

Least Common Multiple of 115,231 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 115,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,231) = 1

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

GCF(115,231) x common factors =1 x 1 = 1

LCM(115,231) = ( 115 × 231 ) / 1

LCM(115,231) = 26565 / 1

LCM(115,231) = 26565


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 7177/115, 3672/231

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 7177/115, 3672/231?

Answer: GCF of Numerators as per given numbers 7177/115, 3672/231 is

GCF of Numerators i.e. for 7177,3672 is 1

LCM of denominators i.e. for 115,231 is 26565.

Thus, GCF of Fractions is 1/26565.Finally, GCF of Fractions for 7177/115, 3672/231 is 1/26565.