Greatest Common Factor of 3647/561, 1428/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3647/561, 1428/441

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 3647/561,1428/441

Given fractions are 3647/561,1428/441

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 3647,1428

Greatest Common Factor of Numerators i.e. GCF of 3647,1428 is 7 .

LCM of Denominators means LCM of 561,441 as per the given fractions.

LCM of 561,441 is 82467 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3647,1428

GCF of Fractions 3647/561,1428/441 is 7/82467

7 3647, 1428
521, 204

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3647,1428 By Matching Biggest Common Factor Method

Greatest Common Factor of 3647,1428 By Matching Biggest Common Factor Method

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1,7,521,3647

Factors of 1428

List of positive integer factors of 1428 that divides 1428 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428

Greatest Common Factor

We found the factors 3647,1428 . The biggest common factor number is the GCF number.
So the greatest common factor 3647,1428 is 7.

Lets's calculate LCM of 561,441

3 561, 441
187, 147

∴ So the LCM of the given numbers is 3 x 187 x 147 = 82467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/82467

Therefore, the GCF of Fractions 3647/561,1428/441 is 7/82467

Least Common Multiple of 561,441 with GCF Formula

Least Common Multiple of 561,441 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 561,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,441) = 3

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

GCF(561,441) x common factors =3 x 1 = 3

LCM(561,441) = ( 561 × 441 ) / 3

LCM(561,441) = 247401 / 3

LCM(561,441) = 82467


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 3647/561, 1428/441

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 3647/561, 1428/441?

Answer: GCF of Numerators as per given numbers 3647/561, 1428/441 is

GCF of Numerators i.e. for 3647,1428 is 7

LCM of denominators i.e. for 561,441 is 82467.

Thus, GCF of Fractions is 7/82467.Finally, GCF of Fractions for 3647/561, 1428/441 is 7/82467.