Greatest Common Factor of 36/486, 60/102, 459/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/486, 60/102, 459/296

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 36/486,60/102,459/296

Given fractions are 36/486,60/102,459/296

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 36,60,459

Greatest Common Factor of Numerators i.e. GCF of 36,60,459 is 3 .

LCM of Denominators means LCM of 486,102,296 as per the given fractions.

LCM of 486,102,296 is 1222776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,60,459

GCF of Fractions 36/486,60/102,459/296 is 3/1222776

3 36, 60, 459
12, 20, 153

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 36,60,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,60,459 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 36,60,459 . The biggest common factor number is the GCF number.
So the greatest common factor 36,60,459 is 3.

Lets's calculate LCM of 486,102,296

2 486, 102, 296
3 243, 51, 148
81, 17, 148

∴ So the LCM of the given numbers is 2 x 3 x 81 x 17 x 148 = 1222776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1222776

Therefore, the GCF of Fractions 36/486,60/102,459/296 is 3/1222776

Least Common Multiple of 486,102,296 with GCF Formula

Least Common Multiple of 486,102,296 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 486,102,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,102,296) = 2

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

GCF(486,102,296) x common factors =2 x 6 = 12

LCM(486,102,296) = ( 486 × 102 × 296 ) / 12

LCM(486,102,296) = 14673312 / 12

LCM(486,102,296) = 1222776


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 36/486, 60/102, 459/296

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 36/486, 60/102, 459/296?

Answer: GCF of Numerators as per given numbers 36/486, 60/102, 459/296 is

GCF of Numerators i.e. for 36,60,459 is 3

LCM of denominators i.e. for 486,102,296 is 1222776.

Thus, GCF of Fractions is 3/1222776.Finally, GCF of Fractions for 36/486, 60/102, 459/296 is 3/1222776.