Greatest Common Factor of 202/165, 122/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 202/165, 122/445

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 202/165,122/445

Given fractions are 202/165,122/445

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 202,122

Greatest Common Factor of Numerators i.e. GCF of 202,122 is 2 .

LCM of Denominators means LCM of 165,445 as per the given fractions.

LCM of 165,445 is 14685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 202,122

GCF of Fractions 202/165,122/445 is 2/14685

2 202, 122
101, 61

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 202,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,122 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 202,122 . The biggest common factor number is the GCF number.
So the greatest common factor 202,122 is 2.

Lets's calculate LCM of 165,445

5 165, 445
33, 89

∴ So the LCM of the given numbers is 5 x 33 x 89 = 14685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14685

Therefore, the GCF of Fractions 202/165,122/445 is 2/14685

Least Common Multiple of 165,445 with GCF Formula

Least Common Multiple of 165,445 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 165,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,445) = 5

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

GCF(165,445) x common factors =5 x 1 = 5

LCM(165,445) = ( 165 × 445 ) / 5

LCM(165,445) = 73425 / 5

LCM(165,445) = 14685


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 202/165, 122/445

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 202/165, 122/445?

Answer: GCF of Numerators as per given numbers 202/165, 122/445 is

GCF of Numerators i.e. for 202,122 is 2

LCM of denominators i.e. for 165,445 is 14685.

Thus, GCF of Fractions is 2/14685.Finally, GCF of Fractions for 202/165, 122/445 is 2/14685.