Greatest Common Factor of 609/53, 609/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 609/53, 609/463

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 609/53,609/463

Given fractions are 609/53,609/463

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 609,609

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

LCM of Denominators means LCM of 53,463 as per the given fractions.

LCM of 53,463 is 24539 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 609,609

GCF of Fractions 609/53,609/463 is 609/24539

3 609, 609
7 203, 203
29 29, 29
1, 1

∴ So the GCF of the given numbers is 3 x 7 x 29 = 609

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

Greatest Common Factor of 609,609 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 609

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

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

Greatest Common Factor

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

Lets's calculate LCM of 53,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 24539

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 609/24539

Therefore, the GCF of Fractions 609/53,609/463 is 609/24539

Least Common Multiple of 53,463 with GCF Formula

Least Common Multiple of 53,463 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 53,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,463) = 1

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

GCF(53,463) x common factors =1 x 1 = 1

LCM(53,463) = ( 53 × 463 ) / 1

LCM(53,463) = 24539 / 1

LCM(53,463) = 24539


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 609/53, 609/463

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 609/53, 609/463?

Answer: GCF of Numerators as per given numbers 609/53, 609/463 is

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

LCM of denominators i.e. for 53,463 is 24539.

Thus, GCF of Fractions is 609/24539.Finally, GCF of Fractions for 609/53, 609/463 is 609/24539.