Greatest Common Factor of 5846/179, 4449/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5846/179, 4449/613

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 5846/179,4449/613

Given fractions are 5846/179,4449/613

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 5846,4449

Greatest Common Factor of Numerators i.e. GCF of 5846,4449 is 1 .

LCM of Denominators means LCM of 179,613 as per the given fractions.

LCM of 179,613 is 109727 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5846,4449

GCF of Fractions 5846/179,4449/613 is 1/109727

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

Greatest Common Factor of 5846,4449 By Matching Biggest Common Factor Method

Greatest Common Factor of 5846,4449 By Matching Biggest Common Factor Method

Factors of 5846

List of positive integer factors of 5846 that divides 5846 without a remainder.

1,2,37,74,79,158,2923,5846

Factors of 4449

List of positive integer factors of 4449 that divides 4449 without a remainder.

1,3,1483,4449

Greatest Common Factor

We found the factors 5846,4449 . The biggest common factor number is the GCF number.
So the greatest common factor 5846,4449 is 1.


Lets's calculate LCM of 179,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 109727

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109727

Therefore, the GCF of Fractions 5846/179,4449/613 is 1/109727

Least Common Multiple of 179,613 with GCF Formula

Least Common Multiple of 179,613 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 179,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,613) = 1

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

GCF(179,613) x common factors =1 x 1 = 1

LCM(179,613) = ( 179 × 613 ) / 1

LCM(179,613) = 109727 / 1

LCM(179,613) = 109727


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5846/179, 4449/613

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 5846/179, 4449/613?

Answer: GCF of Numerators as per given numbers 5846/179, 4449/613 is

GCF of Numerators i.e. for 5846,4449 is 1

LCM of denominators i.e. for 179,613 is 109727.

Thus, GCF of Fractions is 1/109727.Finally, GCF of Fractions for 5846/179, 4449/613 is 1/109727.