Greatest Common Factor of 7075/217, 8681/9177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7075/217, 8681/9177

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 7075/217,8681/9177

Given fractions are 7075/217,8681/9177

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 7075,8681

Greatest Common Factor of Numerators i.e. GCF of 7075,8681 is 1 .

LCM of Denominators means LCM of 217,9177 as per the given fractions.

LCM of 217,9177 is 284487 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7075,8681

GCF of Fractions 7075/217,8681/9177 is 1/284487

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

Greatest Common Factor of 7075,8681 By Matching Biggest Common Factor Method

Greatest Common Factor of 7075,8681 By Matching Biggest Common Factor Method

Factors of 7075

List of positive integer factors of 7075 that divides 7075 without a remainder.

1,5,25,283,1415,7075

Factors of 8681

List of positive integer factors of 8681 that divides 8681 without a remainder.

1,8681

Greatest Common Factor

We found the factors 7075,8681 . The biggest common factor number is the GCF number.
So the greatest common factor 7075,8681 is 1.

Lets's calculate LCM of 217,9177

7 217, 9177
31, 1311

∴ So the LCM of the given numbers is 7 x 31 x 1311 = 284487

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284487

Therefore, the GCF of Fractions 7075/217,8681/9177 is 1/284487

Least Common Multiple of 217,9177 with GCF Formula

Least Common Multiple of 217,9177 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 217,9177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,9177) = 7

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

GCF(217,9177) x common factors =7 x 1 = 7

LCM(217,9177) = ( 217 × 9177 ) / 7

LCM(217,9177) = 1991409 / 7

LCM(217,9177) = 284487


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 7075/217, 8681/9177

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 7075/217, 8681/9177?

Answer: GCF of Numerators as per given numbers 7075/217, 8681/9177 is

GCF of Numerators i.e. for 7075,8681 is 1

LCM of denominators i.e. for 217,9177 is 284487.

Thus, GCF of Fractions is 1/284487.Finally, GCF of Fractions for 7075/217, 8681/9177 is 1/284487.