Greatest Common Factor of 24/578, 29/622, 914/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/578, 29/622, 914/984

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 24/578,29/622,914/984

Given fractions are 24/578,29/622,914/984

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 24,29,914

Greatest Common Factor of Numerators i.e. GCF of 24,29,914 is 1 .

LCM of Denominators means LCM of 578,622,984 as per the given fractions.

LCM of 578,622,984 is 88440936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,29,914

GCF of Fractions 24/578,29/622,914/984 is 1/88440936

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

Greatest Common Factor of 24,29,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,29,914 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 24,29,914 . The biggest common factor number is the GCF number.
So the greatest common factor 24,29,914 is 1.

Lets's calculate LCM of 578,622,984

2 578, 622, 984
289, 311, 492

∴ So the LCM of the given numbers is 2 x 289 x 311 x 492 = 88440936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88440936

Therefore, the GCF of Fractions 24/578,29/622,914/984 is 1/88440936

Least Common Multiple of 578,622,984 with GCF Formula

Least Common Multiple of 578,622,984 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 578,622,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,622,984) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(578,622,984) x common factors =2 x 2 = 4

LCM(578,622,984) = ( 578 × 622 × 984 ) / 4

LCM(578,622,984) = 353763744 / 4

LCM(578,622,984) = 88440936


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 24/578, 29/622, 914/984

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 24/578, 29/622, 914/984?

Answer: GCF of Numerators as per given numbers 24/578, 29/622, 914/984 is

GCF of Numerators i.e. for 24,29,914 is 1

LCM of denominators i.e. for 578,622,984 is 88440936.

Thus, GCF of Fractions is 1/88440936.Finally, GCF of Fractions for 24/578, 29/622, 914/984 is 1/88440936.