Greatest Common Factor of 414/972, 3704/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 414/972, 3704/321

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 414/972,3704/321

Given fractions are 414/972,3704/321

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 414,3704

Greatest Common Factor of Numerators i.e. GCF of 414,3704 is 2 .

LCM of Denominators means LCM of 972,321 as per the given fractions.

LCM of 972,321 is 104004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 414,3704

GCF of Fractions 414/972,3704/321 is 2/104004

2 414, 3704
207, 1852

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

Greatest Common Factor of 414,3704 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,3704 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1,2,4,8,463,926,1852,3704

Greatest Common Factor

We found the factors 414,3704 . The biggest common factor number is the GCF number.
So the greatest common factor 414,3704 is 2.

Lets's calculate LCM of 972,321

3 972, 321
324, 107

∴ So the LCM of the given numbers is 3 x 324 x 107 = 104004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104004

Therefore, the GCF of Fractions 414/972,3704/321 is 2/104004

Least Common Multiple of 972,321 with GCF Formula

Least Common Multiple of 972,321 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 972,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,321) = 3

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

GCF(972,321) x common factors =3 x 1 = 3

LCM(972,321) = ( 972 × 321 ) / 3

LCM(972,321) = 312012 / 3

LCM(972,321) = 104004


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 414/972, 3704/321

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 414/972, 3704/321?

Answer: GCF of Numerators as per given numbers 414/972, 3704/321 is

GCF of Numerators i.e. for 414,3704 is 2

LCM of denominators i.e. for 972,321 is 104004.

Thus, GCF of Fractions is 2/104004.Finally, GCF of Fractions for 414/972, 3704/321 is 2/104004.