Greatest Common Factor of 609/437, 3141/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 609/437, 3141/304

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 609/437,3141/304

Given fractions are 609/437,3141/304

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 609,3141

Greatest Common Factor of Numerators i.e. GCF of 609,3141 is 3 .

LCM of Denominators means LCM of 437,304 as per the given fractions.

LCM of 437,304 is 6992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 609,3141

GCF of Fractions 609/437,3141/304 is 3/6992

3 609, 3141
203, 1047

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

Greatest Common Factor of 609,3141 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,3141 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Greatest Common Factor

We found the factors 609,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 609,3141 is 3.

Lets's calculate LCM of 437,304

19 437, 304
23, 16

∴ So the LCM of the given numbers is 19 x 23 x 16 = 6992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6992

Therefore, the GCF of Fractions 609/437,3141/304 is 3/6992

Least Common Multiple of 437,304 with GCF Formula

Least Common Multiple of 437,304 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 437,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,304) = 19

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

GCF(437,304) x common factors =19 x 1 = 19

LCM(437,304) = ( 437 × 304 ) / 19

LCM(437,304) = 132848 / 19

LCM(437,304) = 6992


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 609/437, 3141/304

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 609/437, 3141/304?

Answer: GCF of Numerators as per given numbers 609/437, 3141/304 is

GCF of Numerators i.e. for 609,3141 is 3

LCM of denominators i.e. for 437,304 is 6992.

Thus, GCF of Fractions is 3/6992.Finally, GCF of Fractions for 609/437, 3141/304 is 3/6992.