Greatest Common Factor of 3225/777, 7037/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3225/777, 7037/204

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 3225/777,7037/204

Given fractions are 3225/777,7037/204

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 3225,7037

Greatest Common Factor of Numerators i.e. GCF of 3225,7037 is 1 .

LCM of Denominators means LCM of 777,204 as per the given fractions.

LCM of 777,204 is 52836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3225,7037

GCF of Fractions 3225/777,7037/204 is 1/52836

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

Greatest Common Factor of 3225,7037 By Matching Biggest Common Factor Method

Greatest Common Factor of 3225,7037 By Matching Biggest Common Factor Method

Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1,3,5,15,25,43,75,129,215,645,1075,3225

Factors of 7037

List of positive integer factors of 7037 that divides 7037 without a remainder.

1,31,227,7037

Greatest Common Factor

We found the factors 3225,7037 . The biggest common factor number is the GCF number.
So the greatest common factor 3225,7037 is 1.

Lets's calculate LCM of 777,204

3 777, 204
259, 68

∴ So the LCM of the given numbers is 3 x 259 x 68 = 52836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52836

Therefore, the GCF of Fractions 3225/777,7037/204 is 1/52836

Least Common Multiple of 777,204 with GCF Formula

Least Common Multiple of 777,204 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 777,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,204) = 3

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

GCF(777,204) x common factors =3 x 1 = 3

LCM(777,204) = ( 777 × 204 ) / 3

LCM(777,204) = 158508 / 3

LCM(777,204) = 52836


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 3225/777, 7037/204

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 3225/777, 7037/204?

Answer: GCF of Numerators as per given numbers 3225/777, 7037/204 is

GCF of Numerators i.e. for 3225,7037 is 1

LCM of denominators i.e. for 777,204 is 52836.

Thus, GCF of Fractions is 1/52836.Finally, GCF of Fractions for 3225/777, 7037/204 is 1/52836.