Greatest Common Factor of 5359/34, 1165/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5359/34, 1165/836

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 5359/34,1165/836

Given fractions are 5359/34,1165/836

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 5359,1165

Greatest Common Factor of Numerators i.e. GCF of 5359,1165 is 233 .

LCM of Denominators means LCM of 34,836 as per the given fractions.

LCM of 34,836 is 14212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5359,1165

GCF of Fractions 5359/34,1165/836 is 233/14212

233 5359, 1165
23, 5

∴ So the GCF of the given numbers is 233 = 233

Greatest Common Factor of 5359,1165 By Matching Biggest Common Factor Method

Greatest Common Factor of 5359,1165 By Matching Biggest Common Factor Method

Factors of 5359

List of positive integer factors of 5359 that divides 5359 without a remainder.

1,23,233,5359

Factors of 1165

List of positive integer factors of 1165 that divides 1165 without a remainder.

1,5,233,1165

Greatest Common Factor

We found the factors 5359,1165 . The biggest common factor number is the GCF number.
So the greatest common factor 5359,1165 is 233.

Lets's calculate LCM of 34,836

2 34, 836
17, 418

∴ So the LCM of the given numbers is 2 x 17 x 418 = 14212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 233/14212

Therefore, the GCF of Fractions 5359/34,1165/836 is 233/14212

Least Common Multiple of 34,836 with GCF Formula

Least Common Multiple of 34,836 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 34,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,836) = 2

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

GCF(34,836) x common factors =2 x 1 = 2

LCM(34,836) = ( 34 × 836 ) / 2

LCM(34,836) = 28424 / 2

LCM(34,836) = 14212


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 5359/34, 1165/836

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 5359/34, 1165/836?

Answer: GCF of Numerators as per given numbers 5359/34, 1165/836 is

GCF of Numerators i.e. for 5359,1165 is 233

LCM of denominators i.e. for 34,836 is 14212.

Thus, GCF of Fractions is 233/14212.Finally, GCF of Fractions for 5359/34, 1165/836 is 233/14212.