Greatest Common Factor of 3996/681, 5246/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3996/681, 5246/420

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 3996/681,5246/420

Given fractions are 3996/681,5246/420

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 3996,5246

Greatest Common Factor of Numerators i.e. GCF of 3996,5246 is 2 .

LCM of Denominators means LCM of 681,420 as per the given fractions.

LCM of 681,420 is 95340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3996,5246

GCF of Fractions 3996/681,5246/420 is 2/95340

2 3996, 5246
1998, 2623

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

Greatest Common Factor of 3996,5246 By Matching Biggest Common Factor Method

Greatest Common Factor of 3996,5246 By Matching Biggest Common Factor Method

Factors of 3996

List of positive integer factors of 3996 that divides 3996 without a remainder.

1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996

Factors of 5246

List of positive integer factors of 5246 that divides 5246 without a remainder.

1,2,43,61,86,122,2623,5246

Greatest Common Factor

We found the factors 3996,5246 . The biggest common factor number is the GCF number.
So the greatest common factor 3996,5246 is 2.

Lets's calculate LCM of 681,420

3 681, 420
227, 140

∴ So the LCM of the given numbers is 3 x 227 x 140 = 95340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/95340

Therefore, the GCF of Fractions 3996/681,5246/420 is 2/95340

Least Common Multiple of 681,420 with GCF Formula

Least Common Multiple of 681,420 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 681,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,420) = 3

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

GCF(681,420) x common factors =3 x 1 = 3

LCM(681,420) = ( 681 × 420 ) / 3

LCM(681,420) = 286020 / 3

LCM(681,420) = 95340


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 3996/681, 5246/420

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 3996/681, 5246/420?

Answer: GCF of Numerators as per given numbers 3996/681, 5246/420 is

GCF of Numerators i.e. for 3996,5246 is 2

LCM of denominators i.e. for 681,420 is 95340.

Thus, GCF of Fractions is 2/95340.Finally, GCF of Fractions for 3996/681, 5246/420 is 2/95340.