Greatest Common Factor of 946/37, 396/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 946/37, 396/409

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 946/37,396/409

Given fractions are 946/37,396/409

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 946,396

Greatest Common Factor of Numerators i.e. GCF of 946,396 is 22 .

LCM of Denominators means LCM of 37,409 as per the given fractions.

LCM of 37,409 is 15133 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 946,396

GCF of Fractions 946/37,396/409 is 22/15133

2 946, 396
11 473, 198
43, 18

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 946,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,396 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 946,396 . The biggest common factor number is the GCF number.
So the greatest common factor 946,396 is 22.

Lets's calculate LCM of 37,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 15133

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/15133

Therefore, the GCF of Fractions 946/37,396/409 is 22/15133

Least Common Multiple of 37,409 with GCF Formula

Least Common Multiple of 37,409 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 37,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,409) = 1

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

GCF(37,409) x common factors =1 x 1 = 1

LCM(37,409) = ( 37 × 409 ) / 1

LCM(37,409) = 15133 / 1

LCM(37,409) = 15133


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 946/37, 396/409

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 946/37, 396/409?

Answer: GCF of Numerators as per given numbers 946/37, 396/409 is

GCF of Numerators i.e. for 946,396 is 22

LCM of denominators i.e. for 37,409 is 15133.

Thus, GCF of Fractions is 22/15133.Finally, GCF of Fractions for 946/37, 396/409 is 22/15133.