Greatest Common Factor of 169/82, 2122/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 169/82, 2122/266

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 169/82,2122/266

Given fractions are 169/82,2122/266

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 169,2122

Greatest Common Factor of Numerators i.e. GCF of 169,2122 is 1 .

LCM of Denominators means LCM of 82,266 as per the given fractions.

LCM of 82,266 is 10906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 169,2122

GCF of Fractions 169/82,2122/266 is 1/10906

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

Greatest Common Factor of 169,2122 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,2122 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1,2,1061,2122

Greatest Common Factor

We found the factors 169,2122 . The biggest common factor number is the GCF number.
So the greatest common factor 169,2122 is 1.

Lets's calculate LCM of 82,266

2 82, 266
41, 133

∴ So the LCM of the given numbers is 2 x 41 x 133 = 10906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10906

Therefore, the GCF of Fractions 169/82,2122/266 is 1/10906

Least Common Multiple of 82,266 with GCF Formula

Least Common Multiple of 82,266 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 82,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,266) = 2

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

GCF(82,266) x common factors =2 x 1 = 2

LCM(82,266) = ( 82 × 266 ) / 2

LCM(82,266) = 21812 / 2

LCM(82,266) = 10906


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 169/82, 2122/266

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 169/82, 2122/266?

Answer: GCF of Numerators as per given numbers 169/82, 2122/266 is

GCF of Numerators i.e. for 169,2122 is 1

LCM of denominators i.e. for 82,266 is 10906.

Thus, GCF of Fractions is 1/10906.Finally, GCF of Fractions for 169/82, 2122/266 is 1/10906.