Greatest Common Factor of 225/7594, 756/8216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 225/7594, 756/8216

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 225/7594,756/8216

Given fractions are 225/7594,756/8216

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 225,756

Greatest Common Factor of Numerators i.e. GCF of 225,756 is 9 .

LCM of Denominators means LCM of 7594,8216 as per the given fractions.

LCM of 7594,8216 is 31196152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 225,756

GCF of Fractions 225/7594,756/8216 is 9/31196152

3 225, 756
3 75, 252
25, 84

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 225,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,756 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 225,756 . The biggest common factor number is the GCF number.
So the greatest common factor 225,756 is 9.

Lets's calculate LCM of 7594,8216

2 7594, 8216
3797, 4108

∴ So the LCM of the given numbers is 2 x 3797 x 4108 = 31196152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/31196152

Therefore, the GCF of Fractions 225/7594,756/8216 is 9/31196152

Least Common Multiple of 7594,8216 with GCF Formula

Least Common Multiple of 7594,8216 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 7594,8216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7594,8216) = 2

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

GCF(7594,8216) x common factors =2 x 1 = 2

LCM(7594,8216) = ( 7594 × 8216 ) / 2

LCM(7594,8216) = 62392304 / 2

LCM(7594,8216) = 31196152


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 225/7594, 756/8216

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 225/7594, 756/8216?

Answer: GCF of Numerators as per given numbers 225/7594, 756/8216 is

GCF of Numerators i.e. for 225,756 is 9

LCM of denominators i.e. for 7594,8216 is 31196152.

Thus, GCF of Fractions is 9/31196152.Finally, GCF of Fractions for 225/7594, 756/8216 is 9/31196152.