Greatest Common Factor of 493/60, 940/86, 373/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/60, 940/86, 373/626

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 493/60,940/86,373/626

Given fractions are 493/60,940/86,373/626

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 493,940,373

Greatest Common Factor of Numerators i.e. GCF of 493,940,373 is 1 .

LCM of Denominators means LCM of 60,86,626 as per the given fractions.

LCM of 60,86,626 is 807540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,940,373

GCF of Fractions 493/60,940/86,373/626 is 1/807540

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

Greatest Common Factor of 493,940,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,940,373 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 493,940,373 . The biggest common factor number is the GCF number.
So the greatest common factor 493,940,373 is 1.

Lets's calculate LCM of 60,86,626

2 60, 86, 626
30, 43, 313

∴ So the LCM of the given numbers is 2 x 30 x 43 x 313 = 807540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/807540

Therefore, the GCF of Fractions 493/60,940/86,373/626 is 1/807540

Least Common Multiple of 60,86,626 with GCF Formula

Least Common Multiple of 60,86,626 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 60,86,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,86,626) = 2

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

GCF(60,86,626) x common factors =2 x 2 = 4

LCM(60,86,626) = ( 60 × 86 × 626 ) / 4

LCM(60,86,626) = 3230160 / 4

LCM(60,86,626) = 807540


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 493/60, 940/86, 373/626

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 493/60, 940/86, 373/626?

Answer: GCF of Numerators as per given numbers 493/60, 940/86, 373/626 is

GCF of Numerators i.e. for 493,940,373 is 1

LCM of denominators i.e. for 60,86,626 is 807540.

Thus, GCF of Fractions is 1/807540.Finally, GCF of Fractions for 493/60, 940/86, 373/626 is 1/807540.