Greatest Common Factor of 325/396, 3713/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 325/396, 3713/654

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 325/396,3713/654

Given fractions are 325/396,3713/654

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 325,3713

Greatest Common Factor of Numerators i.e. GCF of 325,3713 is 1 .

LCM of Denominators means LCM of 396,654 as per the given fractions.

LCM of 396,654 is 43164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 325,3713

GCF of Fractions 325/396,3713/654 is 1/43164

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

Greatest Common Factor of 325,3713 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,3713 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 3713

List of positive integer factors of 3713 that divides 3713 without a remainder.

1,47,79,3713

Greatest Common Factor

We found the factors 325,3713 . The biggest common factor number is the GCF number.
So the greatest common factor 325,3713 is 1.

Lets's calculate LCM of 396,654

2 396, 654
3 198, 327
66, 109

∴ So the LCM of the given numbers is 2 x 3 x 66 x 109 = 43164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43164

Therefore, the GCF of Fractions 325/396,3713/654 is 1/43164

Least Common Multiple of 396,654 with GCF Formula

Least Common Multiple of 396,654 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 396,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,654) = 6

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

GCF(396,654) x common factors =6 x 1 = 6

LCM(396,654) = ( 396 × 654 ) / 6

LCM(396,654) = 258984 / 6

LCM(396,654) = 43164


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 325/396, 3713/654

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 325/396, 3713/654?

Answer: GCF of Numerators as per given numbers 325/396, 3713/654 is

GCF of Numerators i.e. for 325,3713 is 1

LCM of denominators i.e. for 396,654 is 43164.

Thus, GCF of Fractions is 1/43164.Finally, GCF of Fractions for 325/396, 3713/654 is 1/43164.