Greatest Common Factor of 5649/446, 6012/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5649/446, 6012/942

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 5649/446,6012/942

Given fractions are 5649/446,6012/942

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 5649,6012

Greatest Common Factor of Numerators i.e. GCF of 5649,6012 is 3 .

LCM of Denominators means LCM of 446,942 as per the given fractions.

LCM of 446,942 is 210066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5649,6012

GCF of Fractions 5649/446,6012/942 is 3/210066

3 5649, 6012
1883, 2004

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5649,6012 By Matching Biggest Common Factor Method

Greatest Common Factor of 5649,6012 By Matching Biggest Common Factor Method

Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1,3,7,21,269,807,1883,5649

Factors of 6012

List of positive integer factors of 6012 that divides 6012 without a remainder.

1,2,3,4,6,9,12,18,36,167,334,501,668,1002,1503,2004,3006,6012

Greatest Common Factor

We found the factors 5649,6012 . The biggest common factor number is the GCF number.
So the greatest common factor 5649,6012 is 3.

Lets's calculate LCM of 446,942

2 446, 942
223, 471

∴ So the LCM of the given numbers is 2 x 223 x 471 = 210066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/210066

Therefore, the GCF of Fractions 5649/446,6012/942 is 3/210066

Least Common Multiple of 446,942 with GCF Formula

Least Common Multiple of 446,942 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 446,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,942) = 2

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

GCF(446,942) x common factors =2 x 1 = 2

LCM(446,942) = ( 446 × 942 ) / 2

LCM(446,942) = 420132 / 2

LCM(446,942) = 210066


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 5649/446, 6012/942

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 5649/446, 6012/942?

Answer: GCF of Numerators as per given numbers 5649/446, 6012/942 is

GCF of Numerators i.e. for 5649,6012 is 3

LCM of denominators i.e. for 446,942 is 210066.

Thus, GCF of Fractions is 3/210066.Finally, GCF of Fractions for 5649/446, 6012/942 is 3/210066.