Greatest Common Factor of 7713/416, 8230/3324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7713/416, 8230/3324

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 7713/416,8230/3324

Given fractions are 7713/416,8230/3324

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 7713,8230

Greatest Common Factor of Numerators i.e. GCF of 7713,8230 is 1 .

LCM of Denominators means LCM of 416,3324 as per the given fractions.

LCM of 416,3324 is 345696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7713,8230

GCF of Fractions 7713/416,8230/3324 is 1/345696

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

Greatest Common Factor of 7713,8230 By Matching Biggest Common Factor Method

Greatest Common Factor of 7713,8230 By Matching Biggest Common Factor Method

Factors of 7713

List of positive integer factors of 7713 that divides 7713 without a remainder.

1,3,9,857,2571,7713

Factors of 8230

List of positive integer factors of 8230 that divides 8230 without a remainder.

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 7713,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 7713,8230 is 1.

Lets's calculate LCM of 416,3324

2 416, 3324
2 208, 1662
104, 831

∴ So the LCM of the given numbers is 2 x 2 x 104 x 831 = 345696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345696

Therefore, the GCF of Fractions 7713/416,8230/3324 is 1/345696

Least Common Multiple of 416,3324 with GCF Formula

Least Common Multiple of 416,3324 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 416,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,3324) = 4

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

GCF(416,3324) x common factors =4 x 1 = 4

LCM(416,3324) = ( 416 × 3324 ) / 4

LCM(416,3324) = 1382784 / 4

LCM(416,3324) = 345696


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 7713/416, 8230/3324

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 7713/416, 8230/3324?

Answer: GCF of Numerators as per given numbers 7713/416, 8230/3324 is

GCF of Numerators i.e. for 7713,8230 is 1

LCM of denominators i.e. for 416,3324 is 345696.

Thus, GCF of Fractions is 1/345696.Finally, GCF of Fractions for 7713/416, 8230/3324 is 1/345696.