Greatest Common Factor of 4941/758, 5990/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4941/758, 5990/182

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 4941/758,5990/182

Given fractions are 4941/758,5990/182

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 4941,5990

Greatest Common Factor of Numerators i.e. GCF of 4941,5990 is 1 .

LCM of Denominators means LCM of 758,182 as per the given fractions.

LCM of 758,182 is 68978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4941,5990

GCF of Fractions 4941/758,5990/182 is 1/68978

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

Greatest Common Factor of 4941,5990 By Matching Biggest Common Factor Method

Greatest Common Factor of 4941,5990 By Matching Biggest Common Factor Method

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1,3,9,27,61,81,183,549,1647,4941

Factors of 5990

List of positive integer factors of 5990 that divides 5990 without a remainder.

1,2,5,10,599,1198,2995,5990

Greatest Common Factor

We found the factors 4941,5990 . The biggest common factor number is the GCF number.
So the greatest common factor 4941,5990 is 1.

Lets's calculate LCM of 758,182

2 758, 182
379, 91

∴ So the LCM of the given numbers is 2 x 379 x 91 = 68978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68978

Therefore, the GCF of Fractions 4941/758,5990/182 is 1/68978

Least Common Multiple of 758,182 with GCF Formula

Least Common Multiple of 758,182 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 758,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,182) = 2

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

GCF(758,182) x common factors =2 x 1 = 2

LCM(758,182) = ( 758 × 182 ) / 2

LCM(758,182) = 137956 / 2

LCM(758,182) = 68978


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 4941/758, 5990/182

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 4941/758, 5990/182?

Answer: GCF of Numerators as per given numbers 4941/758, 5990/182 is

GCF of Numerators i.e. for 4941,5990 is 1

LCM of denominators i.e. for 758,182 is 68978.

Thus, GCF of Fractions is 1/68978.Finally, GCF of Fractions for 4941/758, 5990/182 is 1/68978.