Greatest Common Factor of 24/609, 366/394, 656/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/609, 366/394, 656/870

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 24/609,366/394,656/870

Given fractions are 24/609,366/394,656/870

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 24,366,656

Greatest Common Factor of Numerators i.e. GCF of 24,366,656 is 2 .

LCM of Denominators means LCM of 609,394,870 as per the given fractions.

LCM of 609,394,870 is 1199730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,366,656

GCF of Fractions 24/609,366/394,656/870 is 2/1199730

2 24, 366, 656
12, 183, 328

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 24,366,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,366,656 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 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 24,366,656 . The biggest common factor number is the GCF number.
So the greatest common factor 24,366,656 is 2.

Lets's calculate LCM of 609,394,870

2 609, 394, 870
3 609, 197, 435
29 203, 197, 145
7, 197, 5

∴ So the LCM of the given numbers is 2 x 3 x 29 x 7 x 197 x 5 = 1199730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1199730

Therefore, the GCF of Fractions 24/609,366/394,656/870 is 2/1199730

Least Common Multiple of 609,394,870 with GCF Formula

Least Common Multiple of 609,394,870 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 609,394,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,394,870) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(609,394,870) x common factors =1 x 174 = 174

LCM(609,394,870) = ( 609 × 394 × 870 ) / 174

LCM(609,394,870) = 208753020 / 174

LCM(609,394,870) = 1199730


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 24/609, 366/394, 656/870

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 24/609, 366/394, 656/870?

Answer: GCF of Numerators as per given numbers 24/609, 366/394, 656/870 is

GCF of Numerators i.e. for 24,366,656 is 2

LCM of denominators i.e. for 609,394,870 is 1199730.

Thus, GCF of Fractions is 2/1199730.Finally, GCF of Fractions for 24/609, 366/394, 656/870 is 2/1199730.