Greatest Common Factor of 446/212, 9242/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 446/212, 9242/177

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 446/212,9242/177

Given fractions are 446/212,9242/177

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 446,9242

Greatest Common Factor of Numerators i.e. GCF of 446,9242 is 2 .

LCM of Denominators means LCM of 212,177 as per the given fractions.

LCM of 212,177 is 37524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 446,9242

GCF of Fractions 446/212,9242/177 is 2/37524

2 446, 9242
223, 4621

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

Greatest Common Factor of 446,9242 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,9242 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 9242

List of positive integer factors of 9242 that divides 9242 without a remainder.

1,2,4621,9242

Greatest Common Factor

We found the factors 446,9242 . The biggest common factor number is the GCF number.
So the greatest common factor 446,9242 is 2.

Lets's calculate LCM of 212,177

Given numbers has no common factors except 1. So, there LCM is their product i.e 37524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37524

Therefore, the GCF of Fractions 446/212,9242/177 is 2/37524

Least Common Multiple of 212,177 with GCF Formula

Least Common Multiple of 212,177 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 212,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,177) = 1

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

GCF(212,177) x common factors =1 x 1 = 1

LCM(212,177) = ( 212 × 177 ) / 1

LCM(212,177) = 37524 / 1

LCM(212,177) = 37524


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 446/212, 9242/177

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 446/212, 9242/177?

Answer: GCF of Numerators as per given numbers 446/212, 9242/177 is

GCF of Numerators i.e. for 446,9242 is 2

LCM of denominators i.e. for 212,177 is 37524.

Thus, GCF of Fractions is 2/37524.Finally, GCF of Fractions for 446/212, 9242/177 is 2/37524.