Greatest Common Factor of 7712/399, 7413/8016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7712/399, 7413/8016

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 7712/399,7413/8016

Given fractions are 7712/399,7413/8016

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 7712,7413

Greatest Common Factor of Numerators i.e. GCF of 7712,7413 is 1 .

LCM of Denominators means LCM of 399,8016 as per the given fractions.

LCM of 399,8016 is 1066128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7712,7413

GCF of Fractions 7712/399,7413/8016 is 1/1066128

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

Greatest Common Factor of 7712,7413 By Matching Biggest Common Factor Method

Greatest Common Factor of 7712,7413 By Matching Biggest Common Factor Method

Factors of 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1,2,4,8,16,32,241,482,964,1928,3856,7712

Factors of 7413

List of positive integer factors of 7413 that divides 7413 without a remainder.

1,3,7,21,353,1059,2471,7413

Greatest Common Factor

We found the factors 7712,7413 . The biggest common factor number is the GCF number.
So the greatest common factor 7712,7413 is 1.

Lets's calculate LCM of 399,8016

3 399, 8016
133, 2672

∴ So the LCM of the given numbers is 3 x 133 x 2672 = 1066128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1066128

Therefore, the GCF of Fractions 7712/399,7413/8016 is 1/1066128

Least Common Multiple of 399,8016 with GCF Formula

Least Common Multiple of 399,8016 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 399,8016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,8016) = 3

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

GCF(399,8016) x common factors =3 x 1 = 3

LCM(399,8016) = ( 399 × 8016 ) / 3

LCM(399,8016) = 3198384 / 3

LCM(399,8016) = 1066128


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 7712/399, 7413/8016

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 7712/399, 7413/8016?

Answer: GCF of Numerators as per given numbers 7712/399, 7413/8016 is

GCF of Numerators i.e. for 7712,7413 is 1

LCM of denominators i.e. for 399,8016 is 1066128.

Thus, GCF of Fractions is 1/1066128.Finally, GCF of Fractions for 7712/399, 7413/8016 is 1/1066128.