Greatest Common Factor of 118/182, 5911/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/182, 5911/169

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 118/182,5911/169

Given fractions are 118/182,5911/169

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 118,5911

Greatest Common Factor of Numerators i.e. GCF of 118,5911 is 1 .

LCM of Denominators means LCM of 182,169 as per the given fractions.

LCM of 182,169 is 2366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,5911

GCF of Fractions 118/182,5911/169 is 1/2366

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

Greatest Common Factor of 118,5911 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,5911 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 5911

List of positive integer factors of 5911 that divides 5911 without a remainder.

1,23,257,5911

Greatest Common Factor

We found the factors 118,5911 . The biggest common factor number is the GCF number.
So the greatest common factor 118,5911 is 1.

Lets's calculate LCM of 182,169

13 182, 169
14, 13

∴ So the LCM of the given numbers is 13 x 14 x 13 = 2366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2366

Therefore, the GCF of Fractions 118/182,5911/169 is 1/2366

Least Common Multiple of 182,169 with GCF Formula

Least Common Multiple of 182,169 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 182,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,169) = 13

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

GCF(182,169) x common factors =13 x 1 = 13

LCM(182,169) = ( 182 × 169 ) / 13

LCM(182,169) = 30758 / 13

LCM(182,169) = 2366


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 118/182, 5911/169

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 118/182, 5911/169?

Answer: GCF of Numerators as per given numbers 118/182, 5911/169 is

GCF of Numerators i.e. for 118,5911 is 1

LCM of denominators i.e. for 182,169 is 2366.

Thus, GCF of Fractions is 1/2366.Finally, GCF of Fractions for 118/182, 5911/169 is 1/2366.