Greatest Common Factor of 5135/362, 3199/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5135/362, 3199/916

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 5135/362,3199/916

Given fractions are 5135/362,3199/916

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 5135,3199

Greatest Common Factor of Numerators i.e. GCF of 5135,3199 is 1 .

LCM of Denominators means LCM of 362,916 as per the given fractions.

LCM of 362,916 is 165796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5135,3199

GCF of Fractions 5135/362,3199/916 is 1/165796

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

Greatest Common Factor of 5135,3199 By Matching Biggest Common Factor Method

Greatest Common Factor of 5135,3199 By Matching Biggest Common Factor Method

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1,5,13,65,79,395,1027,5135

Factors of 3199

List of positive integer factors of 3199 that divides 3199 without a remainder.

1,7,457,3199

Greatest Common Factor

We found the factors 5135,3199 . The biggest common factor number is the GCF number.
So the greatest common factor 5135,3199 is 1.

Lets's calculate LCM of 362,916

2 362, 916
181, 458

∴ So the LCM of the given numbers is 2 x 181 x 458 = 165796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165796

Therefore, the GCF of Fractions 5135/362,3199/916 is 1/165796

Least Common Multiple of 362,916 with GCF Formula

Least Common Multiple of 362,916 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 362,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,916) = 2

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

GCF(362,916) x common factors =2 x 1 = 2

LCM(362,916) = ( 362 × 916 ) / 2

LCM(362,916) = 331592 / 2

LCM(362,916) = 165796


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 5135/362, 3199/916

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 5135/362, 3199/916?

Answer: GCF of Numerators as per given numbers 5135/362, 3199/916 is

GCF of Numerators i.e. for 5135,3199 is 1

LCM of denominators i.e. for 362,916 is 165796.

Thus, GCF of Fractions is 1/165796.Finally, GCF of Fractions for 5135/362, 3199/916 is 1/165796.