Greatest Common Factor of 8325/687, 3310/6396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8325/687, 3310/6396

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 8325/687,3310/6396

Given fractions are 8325/687,3310/6396

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 8325,3310

Greatest Common Factor of Numerators i.e. GCF of 8325,3310 is 5 .

LCM of Denominators means LCM of 687,6396 as per the given fractions.

LCM of 687,6396 is 1464684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8325,3310

GCF of Fractions 8325/687,3310/6396 is 5/1464684

5 8325, 3310
1665, 662

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8325,3310 By Matching Biggest Common Factor Method

Greatest Common Factor of 8325,3310 By Matching Biggest Common Factor Method

Factors of 8325

List of positive integer factors of 8325 that divides 8325 without a remainder.

1,3,5,9,15,25,37,45,75,111,185,225,333,555,925,1665,2775,8325

Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1,2,5,10,331,662,1655,3310

Greatest Common Factor

We found the factors 8325,3310 . The biggest common factor number is the GCF number.
So the greatest common factor 8325,3310 is 5.

Lets's calculate LCM of 687,6396

3 687, 6396
229, 2132

∴ So the LCM of the given numbers is 3 x 229 x 2132 = 1464684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1464684

Therefore, the GCF of Fractions 8325/687,3310/6396 is 5/1464684

Least Common Multiple of 687,6396 with GCF Formula

Least Common Multiple of 687,6396 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 687,6396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,6396) = 3

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

GCF(687,6396) x common factors =3 x 1 = 3

LCM(687,6396) = ( 687 × 6396 ) / 3

LCM(687,6396) = 4394052 / 3

LCM(687,6396) = 1464684


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 8325/687, 3310/6396

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 8325/687, 3310/6396?

Answer: GCF of Numerators as per given numbers 8325/687, 3310/6396 is

GCF of Numerators i.e. for 8325,3310 is 5

LCM of denominators i.e. for 687,6396 is 1464684.

Thus, GCF of Fractions is 5/1464684.Finally, GCF of Fractions for 8325/687, 3310/6396 is 5/1464684.