Greatest Common Factor of 5167/278, 1833/4434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5167/278, 1833/4434

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 5167/278,1833/4434

Given fractions are 5167/278,1833/4434

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 5167,1833

Greatest Common Factor of Numerators i.e. GCF of 5167,1833 is 1 .

LCM of Denominators means LCM of 278,4434 as per the given fractions.

LCM of 278,4434 is 616326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5167,1833

GCF of Fractions 5167/278,1833/4434 is 1/616326

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

Greatest Common Factor of 5167,1833 By Matching Biggest Common Factor Method

Greatest Common Factor of 5167,1833 By Matching Biggest Common Factor Method

Factors of 5167

List of positive integer factors of 5167 that divides 5167 without a remainder.

1,5167

Factors of 1833

List of positive integer factors of 1833 that divides 1833 without a remainder.

1,3,13,39,47,141,611,1833

Greatest Common Factor

We found the factors 5167,1833 . The biggest common factor number is the GCF number.
So the greatest common factor 5167,1833 is 1.

Lets's calculate LCM of 278,4434

2 278, 4434
139, 2217

∴ So the LCM of the given numbers is 2 x 139 x 2217 = 616326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616326

Therefore, the GCF of Fractions 5167/278,1833/4434 is 1/616326

Least Common Multiple of 278,4434 with GCF Formula

Least Common Multiple of 278,4434 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 278,4434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,4434) = 2

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

GCF(278,4434) x common factors =2 x 1 = 2

LCM(278,4434) = ( 278 × 4434 ) / 2

LCM(278,4434) = 1232652 / 2

LCM(278,4434) = 616326


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 5167/278, 1833/4434

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 5167/278, 1833/4434?

Answer: GCF of Numerators as per given numbers 5167/278, 1833/4434 is

GCF of Numerators i.e. for 5167,1833 is 1

LCM of denominators i.e. for 278,4434 is 616326.

Thus, GCF of Fractions is 1/616326.Finally, GCF of Fractions for 5167/278, 1833/4434 is 1/616326.