Greatest Common Factor of 6152/489, 1175/4851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6152/489, 1175/4851

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 6152/489,1175/4851

Given fractions are 6152/489,1175/4851

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 6152,1175

Greatest Common Factor of Numerators i.e. GCF of 6152,1175 is 1 .

LCM of Denominators means LCM of 489,4851 as per the given fractions.

LCM of 489,4851 is 790713 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6152,1175

GCF of Fractions 6152/489,1175/4851 is 1/790713

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

Greatest Common Factor of 6152,1175 By Matching Biggest Common Factor Method

Greatest Common Factor of 6152,1175 By Matching Biggest Common Factor Method

Factors of 6152

List of positive integer factors of 6152 that divides 6152 without a remainder.

1,2,4,8,769,1538,3076,6152

Factors of 1175

List of positive integer factors of 1175 that divides 1175 without a remainder.

1,5,25,47,235,1175

Greatest Common Factor

We found the factors 6152,1175 . The biggest common factor number is the GCF number.
So the greatest common factor 6152,1175 is 1.

Lets's calculate LCM of 489,4851

3 489, 4851
163, 1617

∴ So the LCM of the given numbers is 3 x 163 x 1617 = 790713

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/790713

Therefore, the GCF of Fractions 6152/489,1175/4851 is 1/790713

Least Common Multiple of 489,4851 with GCF Formula

Least Common Multiple of 489,4851 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 489,4851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,4851) = 3

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

GCF(489,4851) x common factors =3 x 1 = 3

LCM(489,4851) = ( 489 × 4851 ) / 3

LCM(489,4851) = 2372139 / 3

LCM(489,4851) = 790713


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 6152/489, 1175/4851

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 6152/489, 1175/4851?

Answer: GCF of Numerators as per given numbers 6152/489, 1175/4851 is

GCF of Numerators i.e. for 6152,1175 is 1

LCM of denominators i.e. for 489,4851 is 790713.

Thus, GCF of Fractions is 1/790713.Finally, GCF of Fractions for 6152/489, 1175/4851 is 1/790713.