Greatest Common Factor of 6969/162, 2518/2038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6969/162, 2518/2038

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 6969/162,2518/2038

Given fractions are 6969/162,2518/2038

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 6969,2518

Greatest Common Factor of Numerators i.e. GCF of 6969,2518 is 1 .

LCM of Denominators means LCM of 162,2038 as per the given fractions.

LCM of 162,2038 is 165078 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6969,2518

GCF of Fractions 6969/162,2518/2038 is 1/165078

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

Greatest Common Factor of 6969,2518 By Matching Biggest Common Factor Method

Greatest Common Factor of 6969,2518 By Matching Biggest Common Factor Method

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1,3,23,69,101,303,2323,6969

Factors of 2518

List of positive integer factors of 2518 that divides 2518 without a remainder.

1,2,1259,2518

Greatest Common Factor

We found the factors 6969,2518 . The biggest common factor number is the GCF number.
So the greatest common factor 6969,2518 is 1.

Lets's calculate LCM of 162,2038

2 162, 2038
81, 1019

∴ So the LCM of the given numbers is 2 x 81 x 1019 = 165078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165078

Therefore, the GCF of Fractions 6969/162,2518/2038 is 1/165078

Least Common Multiple of 162,2038 with GCF Formula

Least Common Multiple of 162,2038 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 162,2038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,2038) = 2

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

GCF(162,2038) x common factors =2 x 1 = 2

LCM(162,2038) = ( 162 × 2038 ) / 2

LCM(162,2038) = 330156 / 2

LCM(162,2038) = 165078


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 6969/162, 2518/2038

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 6969/162, 2518/2038?

Answer: GCF of Numerators as per given numbers 6969/162, 2518/2038 is

GCF of Numerators i.e. for 6969,2518 is 1

LCM of denominators i.e. for 162,2038 is 165078.

Thus, GCF of Fractions is 1/165078.Finally, GCF of Fractions for 6969/162, 2518/2038 is 1/165078.