Greatest Common Factor of 723/52, 312/53, 609/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 723/52, 312/53, 609/231

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 723/52,312/53,609/231

Given fractions are 723/52,312/53,609/231

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 723,312,609

Greatest Common Factor of Numerators i.e. GCF of 723,312,609 is 3 .

LCM of Denominators means LCM of 52,53,231 as per the given fractions.

LCM of 52,53,231 is 636636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 723,312,609

GCF of Fractions 723/52,312/53,609/231 is 3/636636

3 723, 312, 609
241, 104, 203

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

Greatest Common Factor of 723,312,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,312,609 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

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 723,312,609 . The biggest common factor number is the GCF number.
So the greatest common factor 723,312,609 is 3.

Lets's calculate LCM of 52,53,231

Given numbers has no common factors except 1. So, there LCM is their product i.e 636636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/636636

Therefore, the GCF of Fractions 723/52,312/53,609/231 is 3/636636

Least Common Multiple of 52,53,231 with GCF Formula

Least Common Multiple of 52,53,231 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 52,53,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,53,231) = 1

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

GCF(52,53,231) x common factors =1 x 1 = 1

LCM(52,53,231) = ( 52 × 53 × 231 ) / 1

LCM(52,53,231) = 636636 / 1

LCM(52,53,231) = 636636


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 723/52, 312/53, 609/231

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 723/52, 312/53, 609/231?

Answer: GCF of Numerators as per given numbers 723/52, 312/53, 609/231 is

GCF of Numerators i.e. for 723,312,609 is 3

LCM of denominators i.e. for 52,53,231 is 636636.

Thus, GCF of Fractions is 3/636636.Finally, GCF of Fractions for 723/52, 312/53, 609/231 is 3/636636.