Greatest Common Factor of 12/469, 790/865, 586/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/469, 790/865, 586/400

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 12/469,790/865,586/400

Given fractions are 12/469,790/865,586/400

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 12,790,586

Greatest Common Factor of Numerators i.e. GCF of 12,790,586 is 2 .

LCM of Denominators means LCM of 469,865,400 as per the given fractions.

LCM of 469,865,400 is 32454800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,790,586

GCF of Fractions 12/469,790/865,586/400 is 2/32454800

2 12, 790, 586
6, 395, 293

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

Greatest Common Factor of 12,790,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,790,586 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 12,790,586 . The biggest common factor number is the GCF number.
So the greatest common factor 12,790,586 is 2.

Lets's calculate LCM of 469,865,400

5 469, 865, 400
469, 173, 80

∴ So the LCM of the given numbers is 5 x 469 x 173 x 80 = 32454800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32454800

Therefore, the GCF of Fractions 12/469,790/865,586/400 is 2/32454800

Least Common Multiple of 469,865,400 with GCF Formula

Least Common Multiple of 469,865,400 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 469,865,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,865,400) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(469,865,400) x common factors =1 x 5 = 5

LCM(469,865,400) = ( 469 × 865 × 400 ) / 5

LCM(469,865,400) = 162274000 / 5

LCM(469,865,400) = 32454800


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 12/469, 790/865, 586/400

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 12/469, 790/865, 586/400?

Answer: GCF of Numerators as per given numbers 12/469, 790/865, 586/400 is

GCF of Numerators i.e. for 12,790,586 is 2

LCM of denominators i.e. for 469,865,400 is 32454800.

Thus, GCF of Fractions is 2/32454800.Finally, GCF of Fractions for 12/469, 790/865, 586/400 is 2/32454800.