Greatest Common Factor of 5165/13, 3895/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5165/13, 3895/162

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 5165/13,3895/162

Given fractions are 5165/13,3895/162

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 5165,3895

Greatest Common Factor of Numerators i.e. GCF of 5165,3895 is 5 .

LCM of Denominators means LCM of 13,162 as per the given fractions.

LCM of 13,162 is 2106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5165,3895

GCF of Fractions 5165/13,3895/162 is 5/2106

5 5165, 3895
1033, 779

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5165,3895 By Matching Biggest Common Factor Method

Greatest Common Factor of 5165,3895 By Matching Biggest Common Factor Method

Factors of 5165

List of positive integer factors of 5165 that divides 5165 without a remainder.

1,5,1033,5165

Factors of 3895

List of positive integer factors of 3895 that divides 3895 without a remainder.

1,5,19,41,95,205,779,3895

Greatest Common Factor

We found the factors 5165,3895 . The biggest common factor number is the GCF number.
So the greatest common factor 5165,3895 is 5.

Lets's calculate LCM of 13,162

Given numbers has no common factors except 1. So, there LCM is their product i.e 2106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2106

Therefore, the GCF of Fractions 5165/13,3895/162 is 5/2106

Least Common Multiple of 13,162 with GCF Formula

Least Common Multiple of 13,162 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 13,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,162) = 1

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

GCF(13,162) x common factors =1 x 1 = 1

LCM(13,162) = ( 13 × 162 ) / 1

LCM(13,162) = 2106 / 1

LCM(13,162) = 2106


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 5165/13, 3895/162

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 5165/13, 3895/162?

Answer: GCF of Numerators as per given numbers 5165/13, 3895/162 is

GCF of Numerators i.e. for 5165,3895 is 5

LCM of denominators i.e. for 13,162 is 2106.

Thus, GCF of Fractions is 5/2106.Finally, GCF of Fractions for 5165/13, 3895/162 is 5/2106.