Greatest Common Factor of 5159/894, 8115/4750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5159/894, 8115/4750

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 5159/894,8115/4750

Given fractions are 5159/894,8115/4750

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 5159,8115

Greatest Common Factor of Numerators i.e. GCF of 5159,8115 is 1 .

LCM of Denominators means LCM of 894,4750 as per the given fractions.

LCM of 894,4750 is 2123250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5159,8115

GCF of Fractions 5159/894,8115/4750 is 1/2123250

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

Greatest Common Factor of 5159,8115 By Matching Biggest Common Factor Method

Greatest Common Factor of 5159,8115 By Matching Biggest Common Factor Method

Factors of 5159

List of positive integer factors of 5159 that divides 5159 without a remainder.

1,7,11,67,77,469,737,5159

Factors of 8115

List of positive integer factors of 8115 that divides 8115 without a remainder.

1,3,5,15,541,1623,2705,8115

Greatest Common Factor

We found the factors 5159,8115 . The biggest common factor number is the GCF number.
So the greatest common factor 5159,8115 is 1.

Lets's calculate LCM of 894,4750

2 894, 4750
447, 2375

∴ So the LCM of the given numbers is 2 x 447 x 2375 = 2123250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2123250

Therefore, the GCF of Fractions 5159/894,8115/4750 is 1/2123250

Least Common Multiple of 894,4750 with GCF Formula

Least Common Multiple of 894,4750 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 894,4750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,4750) = 2

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

GCF(894,4750) x common factors =2 x 1 = 2

LCM(894,4750) = ( 894 × 4750 ) / 2

LCM(894,4750) = 4246500 / 2

LCM(894,4750) = 2123250


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 5159/894, 8115/4750

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 5159/894, 8115/4750?

Answer: GCF of Numerators as per given numbers 5159/894, 8115/4750 is

GCF of Numerators i.e. for 5159,8115 is 1

LCM of denominators i.e. for 894,4750 is 2123250.

Thus, GCF of Fractions is 1/2123250.Finally, GCF of Fractions for 5159/894, 8115/4750 is 1/2123250.