Greatest Common Factor of 66/59, 82/18, 450/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/59, 82/18, 450/345

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 66/59,82/18,450/345

Given fractions are 66/59,82/18,450/345

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 66,82,450

Greatest Common Factor of Numerators i.e. GCF of 66,82,450 is 2 .

LCM of Denominators means LCM of 59,18,345 as per the given fractions.

LCM of 59,18,345 is 122130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,82,450

GCF of Fractions 66/59,82/18,450/345 is 2/122130

2 66, 82, 450
33, 41, 225

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

Greatest Common Factor of 66,82,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,82,450 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 66,82,450 . The biggest common factor number is the GCF number.
So the greatest common factor 66,82,450 is 2.

Lets's calculate LCM of 59,18,345

3 59, 18, 345
59, 6, 115

∴ So the LCM of the given numbers is 3 x 59 x 6 x 115 = 122130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122130

Therefore, the GCF of Fractions 66/59,82/18,450/345 is 2/122130

Least Common Multiple of 59,18,345 with GCF Formula

Least Common Multiple of 59,18,345 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 59,18,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,18,345) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(59,18,345) x common factors =1 x 3 = 3

LCM(59,18,345) = ( 59 × 18 × 345 ) / 3

LCM(59,18,345) = 366390 / 3

LCM(59,18,345) = 122130


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 66/59, 82/18, 450/345

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 66/59, 82/18, 450/345?

Answer: GCF of Numerators as per given numbers 66/59, 82/18, 450/345 is

GCF of Numerators i.e. for 66,82,450 is 2

LCM of denominators i.e. for 59,18,345 is 122130.

Thus, GCF of Fractions is 2/122130.Finally, GCF of Fractions for 66/59, 82/18, 450/345 is 2/122130.