Greatest Common Factor of 626/24, 500/90, 591/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/24, 500/90, 591/586

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 626/24,500/90,591/586

Given fractions are 626/24,500/90,591/586

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 626,500,591

Greatest Common Factor of Numerators i.e. GCF of 626,500,591 is 1 .

LCM of Denominators means LCM of 24,90,586 as per the given fractions.

LCM of 24,90,586 is 105480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,500,591

GCF of Fractions 626/24,500/90,591/586 is 1/105480

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

Greatest Common Factor of 626,500,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,500,591 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 626,500,591 . The biggest common factor number is the GCF number.
So the greatest common factor 626,500,591 is 1.

Lets's calculate LCM of 24,90,586

2 24, 90, 586
3 12, 45, 293
4, 15, 293

∴ So the LCM of the given numbers is 2 x 3 x 4 x 15 x 293 = 105480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105480

Therefore, the GCF of Fractions 626/24,500/90,591/586 is 1/105480

Least Common Multiple of 24,90,586 with GCF Formula

Least Common Multiple of 24,90,586 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 24,90,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,90,586) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(24,90,586) x common factors =2 x 6 = 12

LCM(24,90,586) = ( 24 × 90 × 586 ) / 12

LCM(24,90,586) = 1265760 / 12

LCM(24,90,586) = 105480


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 626/24, 500/90, 591/586

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 626/24, 500/90, 591/586?

Answer: GCF of Numerators as per given numbers 626/24, 500/90, 591/586 is

GCF of Numerators i.e. for 626,500,591 is 1

LCM of denominators i.e. for 24,90,586 is 105480.

Thus, GCF of Fractions is 1/105480.Finally, GCF of Fractions for 626/24, 500/90, 591/586 is 1/105480.