Greatest Common Factor of 24/604, 631/647, 821/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 24/604, 631/647, 821/629

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 24/604,631/647,821/629

Given fractions are 24/604,631/647,821/629

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 24,631,821

Greatest Common Factor of Numerators i.e. GCF of 24,631,821 is 1 .

LCM of Denominators means LCM of 604,647,629 as per the given fractions.

LCM of 604,647,629 is 245805652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,631,821

GCF of Fractions 24/604,631/647,821/629 is 1/245805652

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 24,631,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,631,821 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 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 24,631,821 . The biggest common factor number is the GCF number.
So the greatest common factor 24,631,821 is 1.


Lets's calculate LCM of 604,647,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 245805652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245805652

Therefore, the GCF of Fractions 24/604,631/647,821/629 is 1/245805652

Least Common Multiple of 604,647,629 with GCF Formula

Least Common Multiple of 604,647,629 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 604,647,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,647,629) = 1

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

GCF(604,647,629) x common factors =1 x 1 = 1

LCM(604,647,629) = ( 604 × 647 × 629 ) / 1

LCM(604,647,629) = 245805652 / 1

LCM(604,647,629) = 245805652


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 24/604, 631/647, 821/629

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 24/604, 631/647, 821/629?

Answer: GCF of Numerators as per given numbers 24/604, 631/647, 821/629 is

GCF of Numerators i.e. for 24,631,821 is 1

LCM of denominators i.e. for 604,647,629 is 245805652.

Thus, GCF of Fractions is 1/245805652.Finally, GCF of Fractions for 24/604, 631/647, 821/629 is 1/245805652.