Greatest Common Factor of 3777/717, 4215/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3777/717, 4215/645

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 3777/717,4215/645

Given fractions are 3777/717,4215/645

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 3777,4215

Greatest Common Factor of Numerators i.e. GCF of 3777,4215 is 3 .

LCM of Denominators means LCM of 717,645 as per the given fractions.

LCM of 717,645 is 154155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3777,4215

GCF of Fractions 3777/717,4215/645 is 3/154155

3 3777, 4215
1259, 1405

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

Greatest Common Factor of 3777,4215 By Matching Biggest Common Factor Method

Greatest Common Factor of 3777,4215 By Matching Biggest Common Factor Method

Factors of 3777

List of positive integer factors of 3777 that divides 3777 without a remainder.

1,3,1259,3777

Factors of 4215

List of positive integer factors of 4215 that divides 4215 without a remainder.

1,3,5,15,281,843,1405,4215

Greatest Common Factor

We found the factors 3777,4215 . The biggest common factor number is the GCF number.
So the greatest common factor 3777,4215 is 3.

Lets's calculate LCM of 717,645

3 717, 645
239, 215

∴ So the LCM of the given numbers is 3 x 239 x 215 = 154155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/154155

Therefore, the GCF of Fractions 3777/717,4215/645 is 3/154155

Least Common Multiple of 717,645 with GCF Formula

Least Common Multiple of 717,645 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 717,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,645) = 3

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

GCF(717,645) x common factors =3 x 1 = 3

LCM(717,645) = ( 717 × 645 ) / 3

LCM(717,645) = 462465 / 3

LCM(717,645) = 154155


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 3777/717, 4215/645

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 3777/717, 4215/645?

Answer: GCF of Numerators as per given numbers 3777/717, 4215/645 is

GCF of Numerators i.e. for 3777,4215 is 3

LCM of denominators i.e. for 717,645 is 154155.

Thus, GCF of Fractions is 3/154155.Finally, GCF of Fractions for 3777/717, 4215/645 is 3/154155.