Greatest Common Factor of 24/984, 609/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/984, 609/678

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 24/984,609/678

Given fractions are 24/984,609/678

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 24,609

Greatest Common Factor of Numerators i.e. GCF of 24,609 is 3 .

LCM of Denominators means LCM of 984,678 as per the given fractions.

LCM of 984,678 is 111192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,609

GCF of Fractions 24/984,609/678 is 3/111192

3 24, 609
8, 203

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

Greatest Common Factor of 24,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,609 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 24,609 . The biggest common factor number is the GCF number.
So the greatest common factor 24,609 is 3.

Lets's calculate LCM of 984,678

2 984, 678
3 492, 339
164, 113

∴ So the LCM of the given numbers is 2 x 3 x 164 x 113 = 111192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111192

Therefore, the GCF of Fractions 24/984,609/678 is 3/111192

Least Common Multiple of 984,678 with GCF Formula

Least Common Multiple of 984,678 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 984,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,678) = 6

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

GCF(984,678) x common factors =6 x 1 = 6

LCM(984,678) = ( 984 × 678 ) / 6

LCM(984,678) = 667152 / 6

LCM(984,678) = 111192


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 24/984, 609/678

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 24/984, 609/678?

Answer: GCF of Numerators as per given numbers 24/984, 609/678 is

GCF of Numerators i.e. for 24,609 is 3

LCM of denominators i.e. for 984,678 is 111192.

Thus, GCF of Fractions is 3/111192.Finally, GCF of Fractions for 24/984, 609/678 is 3/111192.