Greatest Common Factor of 8981/169, 9738/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8981/169, 9738/569

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 8981/169,9738/569

Given fractions are 8981/169,9738/569

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 8981,9738

Greatest Common Factor of Numerators i.e. GCF of 8981,9738 is 1 .

LCM of Denominators means LCM of 169,569 as per the given fractions.

LCM of 169,569 is 96161 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8981,9738

GCF of Fractions 8981/169,9738/569 is 1/96161

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

Greatest Common Factor of 8981,9738 By Matching Biggest Common Factor Method

Greatest Common Factor of 8981,9738 By Matching Biggest Common Factor Method

Factors of 8981

List of positive integer factors of 8981 that divides 8981 without a remainder.

1,7,1283,8981

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Greatest Common Factor

We found the factors 8981,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 8981,9738 is 1.

Lets's calculate LCM of 169,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 96161

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96161

Therefore, the GCF of Fractions 8981/169,9738/569 is 1/96161

Least Common Multiple of 169,569 with GCF Formula

Least Common Multiple of 169,569 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 169,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,569) = 1

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

GCF(169,569) x common factors =1 x 1 = 1

LCM(169,569) = ( 169 × 569 ) / 1

LCM(169,569) = 96161 / 1

LCM(169,569) = 96161


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 8981/169, 9738/569

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 8981/169, 9738/569?

Answer: GCF of Numerators as per given numbers 8981/169, 9738/569 is

GCF of Numerators i.e. for 8981,9738 is 1

LCM of denominators i.e. for 169,569 is 96161.

Thus, GCF of Fractions is 1/96161.Finally, GCF of Fractions for 8981/169, 9738/569 is 1/96161.