Greatest Common Factor of 586/74, 160/64, 354/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 586/74, 160/64, 354/15

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 586/74,160/64,354/15

Given fractions are 586/74,160/64,354/15

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 586,160,354

Greatest Common Factor of Numerators i.e. GCF of 586,160,354 is 2 .

LCM of Denominators means LCM of 74,64,15 as per the given fractions.

LCM of 74,64,15 is 35520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 586,160,354

GCF of Fractions 586/74,160/64,354/15 is 2/35520

2 586, 160, 354
293, 80, 177

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

Greatest Common Factor of 586,160,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,160,354 By Matching Biggest Common Factor Method

Factors of 586

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

1,2,293,586

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 586,160,354 . The biggest common factor number is the GCF number.
So the greatest common factor 586,160,354 is 2.

Lets's calculate LCM of 74,64,15

2 74, 64, 15
37, 32, 15

∴ So the LCM of the given numbers is 2 x 37 x 32 x 15 = 35520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35520

Therefore, the GCF of Fractions 586/74,160/64,354/15 is 2/35520

Least Common Multiple of 74,64,15 with GCF Formula

Least Common Multiple of 74,64,15 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 74,64,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,64,15) = 1

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

GCF(74,64,15) x common factors =1 x 2 = 2

LCM(74,64,15) = ( 74 × 64 × 15 ) / 2

LCM(74,64,15) = 71040 / 2

LCM(74,64,15) = 35520


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 586/74, 160/64, 354/15

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 586/74, 160/64, 354/15?

Answer: GCF of Numerators as per given numbers 586/74, 160/64, 354/15 is

GCF of Numerators i.e. for 586,160,354 is 2

LCM of denominators i.e. for 74,64,15 is 35520.

Thus, GCF of Fractions is 2/35520.Finally, GCF of Fractions for 586/74, 160/64, 354/15 is 2/35520.