Greatest Common Factor of 3378/956, 7725/8299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3378/956, 7725/8299

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 3378/956,7725/8299

Given fractions are 3378/956,7725/8299

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 3378,7725

Greatest Common Factor of Numerators i.e. GCF of 3378,7725 is 3 .

LCM of Denominators means LCM of 956,8299 as per the given fractions.

LCM of 956,8299 is 7933844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3378,7725

GCF of Fractions 3378/956,7725/8299 is 3/7933844

3 3378, 7725
1126, 2575

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3378,7725 By Matching Biggest Common Factor Method

Greatest Common Factor of 3378,7725 By Matching Biggest Common Factor Method

Factors of 3378

List of positive integer factors of 3378 that divides 3378 without a remainder.

1,2,3,6,563,1126,1689,3378

Factors of 7725

List of positive integer factors of 7725 that divides 7725 without a remainder.

1,3,5,15,25,75,103,309,515,1545,2575,7725

Greatest Common Factor

We found the factors 3378,7725 . The biggest common factor number is the GCF number.
So the greatest common factor 3378,7725 is 3.

Lets's calculate LCM of 956,8299

Given numbers has no common factors except 1. So, there LCM is their product i.e 7933844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7933844

Therefore, the GCF of Fractions 3378/956,7725/8299 is 3/7933844

Least Common Multiple of 956,8299 with GCF Formula

Least Common Multiple of 956,8299 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 956,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,8299) = 1

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

GCF(956,8299) x common factors =1 x 1 = 1

LCM(956,8299) = ( 956 × 8299 ) / 1

LCM(956,8299) = 7933844 / 1

LCM(956,8299) = 7933844


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 3378/956, 7725/8299

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 3378/956, 7725/8299?

Answer: GCF of Numerators as per given numbers 3378/956, 7725/8299 is

GCF of Numerators i.e. for 3378,7725 is 3

LCM of denominators i.e. for 956,8299 is 7933844.

Thus, GCF of Fractions is 3/7933844.Finally, GCF of Fractions for 3378/956, 7725/8299 is 3/7933844.