Greatest Common Factor of 3912/941, 5676/1362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3912/941, 5676/1362

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 3912/941,5676/1362

Given fractions are 3912/941,5676/1362

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 3912,5676

Greatest Common Factor of Numerators i.e. GCF of 3912,5676 is 12 .

LCM of Denominators means LCM of 941,1362 as per the given fractions.

LCM of 941,1362 is 1281642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3912,5676

GCF of Fractions 3912/941,5676/1362 is 12/1281642

2 3912, 5676
2 1956, 2838
3 978, 1419
326, 473

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 3912,5676 By Matching Biggest Common Factor Method

Greatest Common Factor of 3912,5676 By Matching Biggest Common Factor Method

Factors of 3912

List of positive integer factors of 3912 that divides 3912 without a remainder.

1,2,3,4,6,8,12,24,163,326,489,652,978,1304,1956,3912

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676

Greatest Common Factor

We found the factors 3912,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 3912,5676 is 12.

Lets's calculate LCM of 941,1362

Given numbers has no common factors except 1. So, there LCM is their product i.e 1281642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1281642

Therefore, the GCF of Fractions 3912/941,5676/1362 is 12/1281642

Least Common Multiple of 941,1362 with GCF Formula

Least Common Multiple of 941,1362 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 941,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,1362) = 1

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

GCF(941,1362) x common factors =1 x 1 = 1

LCM(941,1362) = ( 941 × 1362 ) / 1

LCM(941,1362) = 1281642 / 1

LCM(941,1362) = 1281642


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 3912/941, 5676/1362

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 3912/941, 5676/1362?

Answer: GCF of Numerators as per given numbers 3912/941, 5676/1362 is

GCF of Numerators i.e. for 3912,5676 is 12

LCM of denominators i.e. for 941,1362 is 1281642.

Thus, GCF of Fractions is 12/1281642.Finally, GCF of Fractions for 3912/941, 5676/1362 is 12/1281642.