Greatest Common Factor of 1159/549, 8457/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1159/549, 8457/269

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 1159/549,8457/269

Given fractions are 1159/549,8457/269

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 1159,8457

Greatest Common Factor of Numerators i.e. GCF of 1159,8457 is 1 .

LCM of Denominators means LCM of 549,269 as per the given fractions.

LCM of 549,269 is 147681 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1159,8457

GCF of Fractions 1159/549,8457/269 is 1/147681

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

Greatest Common Factor of 1159,8457 By Matching Biggest Common Factor Method

Greatest Common Factor of 1159,8457 By Matching Biggest Common Factor Method

Factors of 1159

List of positive integer factors of 1159 that divides 1159 without a remainder.

1,19,61,1159

Factors of 8457

List of positive integer factors of 8457 that divides 8457 without a remainder.

1,3,2819,8457

Greatest Common Factor

We found the factors 1159,8457 . The biggest common factor number is the GCF number.
So the greatest common factor 1159,8457 is 1.

Lets's calculate LCM of 549,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 147681

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147681

Therefore, the GCF of Fractions 1159/549,8457/269 is 1/147681

Least Common Multiple of 549,269 with GCF Formula

Least Common Multiple of 549,269 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 549,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,269) = 1

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

GCF(549,269) x common factors =1 x 1 = 1

LCM(549,269) = ( 549 × 269 ) / 1

LCM(549,269) = 147681 / 1

LCM(549,269) = 147681


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 1159/549, 8457/269

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 1159/549, 8457/269?

Answer: GCF of Numerators as per given numbers 1159/549, 8457/269 is

GCF of Numerators i.e. for 1159,8457 is 1

LCM of denominators i.e. for 549,269 is 147681.

Thus, GCF of Fractions is 1/147681.Finally, GCF of Fractions for 1159/549, 8457/269 is 1/147681.