Greatest Common Factor of 5162/802, 2125/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5162/802, 2125/468

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 5162/802,2125/468

Given fractions are 5162/802,2125/468

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 5162,2125

Greatest Common Factor of Numerators i.e. GCF of 5162,2125 is 1 .

LCM of Denominators means LCM of 802,468 as per the given fractions.

LCM of 802,468 is 187668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5162,2125

GCF of Fractions 5162/802,2125/468 is 1/187668

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

Greatest Common Factor of 5162,2125 By Matching Biggest Common Factor Method

Greatest Common Factor of 5162,2125 By Matching Biggest Common Factor Method

Factors of 5162

List of positive integer factors of 5162 that divides 5162 without a remainder.

1,2,29,58,89,178,2581,5162

Factors of 2125

List of positive integer factors of 2125 that divides 2125 without a remainder.

1,5,17,25,85,125,425,2125

Greatest Common Factor

We found the factors 5162,2125 . The biggest common factor number is the GCF number.
So the greatest common factor 5162,2125 is 1.

Lets's calculate LCM of 802,468

2 802, 468
401, 234

∴ So the LCM of the given numbers is 2 x 401 x 234 = 187668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187668

Therefore, the GCF of Fractions 5162/802,2125/468 is 1/187668

Least Common Multiple of 802,468 with GCF Formula

Least Common Multiple of 802,468 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 802,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,468) = 2

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

GCF(802,468) x common factors =2 x 1 = 2

LCM(802,468) = ( 802 × 468 ) / 2

LCM(802,468) = 375336 / 2

LCM(802,468) = 187668


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 5162/802, 2125/468

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 5162/802, 2125/468?

Answer: GCF of Numerators as per given numbers 5162/802, 2125/468 is

GCF of Numerators i.e. for 5162,2125 is 1

LCM of denominators i.e. for 802,468 is 187668.

Thus, GCF of Fractions is 1/187668.Finally, GCF of Fractions for 5162/802, 2125/468 is 1/187668.