Greatest Common Factor of 3609/646, 6252/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3609/646, 6252/534

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 3609/646,6252/534

Given fractions are 3609/646,6252/534

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 3609,6252

Greatest Common Factor of Numerators i.e. GCF of 3609,6252 is 3 .

LCM of Denominators means LCM of 646,534 as per the given fractions.

LCM of 646,534 is 172482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3609,6252

GCF of Fractions 3609/646,6252/534 is 3/172482

3 3609, 6252
1203, 2084

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

Greatest Common Factor of 3609,6252 By Matching Biggest Common Factor Method

Greatest Common Factor of 3609,6252 By Matching Biggest Common Factor Method

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Factors of 6252

List of positive integer factors of 6252 that divides 6252 without a remainder.

1,2,3,4,6,12,521,1042,1563,2084,3126,6252

Greatest Common Factor

We found the factors 3609,6252 . The biggest common factor number is the GCF number.
So the greatest common factor 3609,6252 is 3.

Lets's calculate LCM of 646,534

2 646, 534
323, 267

∴ So the LCM of the given numbers is 2 x 323 x 267 = 172482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/172482

Therefore, the GCF of Fractions 3609/646,6252/534 is 3/172482

Least Common Multiple of 646,534 with GCF Formula

Least Common Multiple of 646,534 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 646,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,534) = 2

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

GCF(646,534) x common factors =2 x 1 = 2

LCM(646,534) = ( 646 × 534 ) / 2

LCM(646,534) = 344964 / 2

LCM(646,534) = 172482


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 3609/646, 6252/534

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 3609/646, 6252/534?

Answer: GCF of Numerators as per given numbers 3609/646, 6252/534 is

GCF of Numerators i.e. for 3609,6252 is 3

LCM of denominators i.e. for 646,534 is 172482.

Thus, GCF of Fractions is 3/172482.Finally, GCF of Fractions for 3609/646, 6252/534 is 3/172482.