Greatest Common Factor of 225/87, 7662/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 225/87, 7662/797

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 225/87,7662/797

Given fractions are 225/87,7662/797

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 225,7662

Greatest Common Factor of Numerators i.e. GCF of 225,7662 is 3 .

LCM of Denominators means LCM of 87,797 as per the given fractions.

LCM of 87,797 is 69339 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 225,7662

GCF of Fractions 225/87,7662/797 is 3/69339

3 225, 7662
75, 2554

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

Greatest Common Factor of 225,7662 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,7662 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 7662

List of positive integer factors of 7662 that divides 7662 without a remainder.

1,2,3,6,1277,2554,3831,7662

Greatest Common Factor

We found the factors 225,7662 . The biggest common factor number is the GCF number.
So the greatest common factor 225,7662 is 3.

Lets's calculate LCM of 87,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 69339

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69339

Therefore, the GCF of Fractions 225/87,7662/797 is 3/69339

Least Common Multiple of 87,797 with GCF Formula

Least Common Multiple of 87,797 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 87,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,797) = 1

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

GCF(87,797) x common factors =1 x 1 = 1

LCM(87,797) = ( 87 × 797 ) / 1

LCM(87,797) = 69339 / 1

LCM(87,797) = 69339


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 225/87, 7662/797

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 225/87, 7662/797?

Answer: GCF of Numerators as per given numbers 225/87, 7662/797 is

GCF of Numerators i.e. for 225,7662 is 3

LCM of denominators i.e. for 87,797 is 69339.

Thus, GCF of Fractions is 3/69339.Finally, GCF of Fractions for 225/87, 7662/797 is 3/69339.