Greatest Common Factor of 8017/82, 9139/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8017/82, 9139/771

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 8017/82,9139/771

Given fractions are 8017/82,9139/771

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 8017,9139

Greatest Common Factor of Numerators i.e. GCF of 8017,9139 is 1 .

LCM of Denominators means LCM of 82,771 as per the given fractions.

LCM of 82,771 is 63222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8017,9139

GCF of Fractions 8017/82,9139/771 is 1/63222

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

Greatest Common Factor of 8017,9139 By Matching Biggest Common Factor Method

Greatest Common Factor of 8017,9139 By Matching Biggest Common Factor Method

Factors of 8017

List of positive integer factors of 8017 that divides 8017 without a remainder.

1,8017

Factors of 9139

List of positive integer factors of 9139 that divides 9139 without a remainder.

1,13,19,37,247,481,703,9139

Greatest Common Factor

We found the factors 8017,9139 . The biggest common factor number is the GCF number.
So the greatest common factor 8017,9139 is 1.

Lets's calculate LCM of 82,771

Given numbers has no common factors except 1. So, there LCM is their product i.e 63222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63222

Therefore, the GCF of Fractions 8017/82,9139/771 is 1/63222

Least Common Multiple of 82,771 with GCF Formula

Least Common Multiple of 82,771 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 82,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,771) = 1

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

GCF(82,771) x common factors =1 x 1 = 1

LCM(82,771) = ( 82 × 771 ) / 1

LCM(82,771) = 63222 / 1

LCM(82,771) = 63222


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 8017/82, 9139/771

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 8017/82, 9139/771?

Answer: GCF of Numerators as per given numbers 8017/82, 9139/771 is

GCF of Numerators i.e. for 8017,9139 is 1

LCM of denominators i.e. for 82,771 is 63222.

Thus, GCF of Fractions is 1/63222.Finally, GCF of Fractions for 8017/82, 9139/771 is 1/63222.