Greatest Common Factor of 360/66, 275/41, 593/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/66, 275/41, 593/233

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 360/66,275/41,593/233

Given fractions are 360/66,275/41,593/233

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 360,275,593

Greatest Common Factor of Numerators i.e. GCF of 360,275,593 is 1 .

LCM of Denominators means LCM of 66,41,233 as per the given fractions.

LCM of 66,41,233 is 630498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,275,593

GCF of Fractions 360/66,275/41,593/233 is 1/630498

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

Greatest Common Factor of 360,275,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,275,593 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 360,275,593 . The biggest common factor number is the GCF number.
So the greatest common factor 360,275,593 is 1.

Lets's calculate LCM of 66,41,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 630498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630498

Therefore, the GCF of Fractions 360/66,275/41,593/233 is 1/630498

Least Common Multiple of 66,41,233 with GCF Formula

Least Common Multiple of 66,41,233 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 66,41,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,41,233) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(66,41,233) x common factors =1 x 1 = 1

LCM(66,41,233) = ( 66 × 41 × 233 ) / 1

LCM(66,41,233) = 630498 / 1

LCM(66,41,233) = 630498


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 360/66, 275/41, 593/233

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 360/66, 275/41, 593/233?

Answer: GCF of Numerators as per given numbers 360/66, 275/41, 593/233 is

GCF of Numerators i.e. for 360,275,593 is 1

LCM of denominators i.e. for 66,41,233 is 630498.

Thus, GCF of Fractions is 1/630498.Finally, GCF of Fractions for 360/66, 275/41, 593/233 is 1/630498.