Greatest Common Factor of 3316/717, 1638/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3316/717, 1638/501

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 3316/717,1638/501

Given fractions are 3316/717,1638/501

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 3316,1638

Greatest Common Factor of Numerators i.e. GCF of 3316,1638 is 2 .

LCM of Denominators means LCM of 717,501 as per the given fractions.

LCM of 717,501 is 119739 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3316,1638

GCF of Fractions 3316/717,1638/501 is 2/119739

2 3316, 1638
1658, 819

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3316,1638 By Matching Biggest Common Factor Method

Greatest Common Factor of 3316,1638 By Matching Biggest Common Factor Method

Factors of 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1,2,4,829,1658,3316

Factors of 1638

List of positive integer factors of 1638 that divides 1638 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638

Greatest Common Factor

We found the factors 3316,1638 . The biggest common factor number is the GCF number.
So the greatest common factor 3316,1638 is 2.

Lets's calculate LCM of 717,501

3 717, 501
239, 167

∴ So the LCM of the given numbers is 3 x 239 x 167 = 119739

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119739

Therefore, the GCF of Fractions 3316/717,1638/501 is 2/119739

Least Common Multiple of 717,501 with GCF Formula

Least Common Multiple of 717,501 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 717,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,501) = 3

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

GCF(717,501) x common factors =3 x 1 = 3

LCM(717,501) = ( 717 × 501 ) / 3

LCM(717,501) = 359217 / 3

LCM(717,501) = 119739


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 3316/717, 1638/501

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 3316/717, 1638/501?

Answer: GCF of Numerators as per given numbers 3316/717, 1638/501 is

GCF of Numerators i.e. for 3316,1638 is 2

LCM of denominators i.e. for 717,501 is 119739.

Thus, GCF of Fractions is 2/119739.Finally, GCF of Fractions for 3316/717, 1638/501 is 2/119739.