Greatest Common Factor of 4072/663, 6713/3648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4072/663, 6713/3648

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 4072/663,6713/3648

Given fractions are 4072/663,6713/3648

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 4072,6713

Greatest Common Factor of Numerators i.e. GCF of 4072,6713 is 1 .

LCM of Denominators means LCM of 663,3648 as per the given fractions.

LCM of 663,3648 is 806208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4072,6713

GCF of Fractions 4072/663,6713/3648 is 1/806208

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4072,6713 By Matching Biggest Common Factor Method

Greatest Common Factor of 4072,6713 By Matching Biggest Common Factor Method

Factors of 4072

List of positive integer factors of 4072 that divides 4072 without a remainder.

1,2,4,8,509,1018,2036,4072

Factors of 6713

List of positive integer factors of 6713 that divides 6713 without a remainder.

1,7,49,137,959,6713

Greatest Common Factor

We found the factors 4072,6713 . The biggest common factor number is the GCF number.
So the greatest common factor 4072,6713 is 1.

Lets's calculate LCM of 663,3648

3 663, 3648
221, 1216

∴ So the LCM of the given numbers is 3 x 221 x 1216 = 806208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/806208

Therefore, the GCF of Fractions 4072/663,6713/3648 is 1/806208

Least Common Multiple of 663,3648 with GCF Formula

Least Common Multiple of 663,3648 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 663,3648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,3648) = 3

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

GCF(663,3648) x common factors =3 x 1 = 3

LCM(663,3648) = ( 663 × 3648 ) / 3

LCM(663,3648) = 2418624 / 3

LCM(663,3648) = 806208


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 4072/663, 6713/3648

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 4072/663, 6713/3648?

Answer: GCF of Numerators as per given numbers 4072/663, 6713/3648 is

GCF of Numerators i.e. for 4072,6713 is 1

LCM of denominators i.e. for 663,3648 is 806208.

Thus, GCF of Fractions is 1/806208.Finally, GCF of Fractions for 4072/663, 6713/3648 is 1/806208.