Greatest Common Factor of 300/54, 4536/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/54, 4536/487

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 300/54,4536/487

Given fractions are 300/54,4536/487

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 300,4536

Greatest Common Factor of Numerators i.e. GCF of 300,4536 is 12 .

LCM of Denominators means LCM of 54,487 as per the given fractions.

LCM of 54,487 is 26298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,4536

GCF of Fractions 300/54,4536/487 is 12/26298

2 300, 4536
2 150, 2268
3 75, 1134
25, 378

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 300,4536 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,4536 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,81,84,108,126,162,168,189,216,252,324,378,504,567,648,756,1134,1512,2268,4536

Greatest Common Factor

We found the factors 300,4536 . The biggest common factor number is the GCF number.
So the greatest common factor 300,4536 is 12.

Lets's calculate LCM of 54,487

Given numbers has no common factors except 1. So, there LCM is their product i.e 26298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/26298

Therefore, the GCF of Fractions 300/54,4536/487 is 12/26298

Least Common Multiple of 54,487 with GCF Formula

Least Common Multiple of 54,487 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 54,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,487) = 1

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

GCF(54,487) x common factors =1 x 1 = 1

LCM(54,487) = ( 54 × 487 ) / 1

LCM(54,487) = 26298 / 1

LCM(54,487) = 26298


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 300/54, 4536/487

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 300/54, 4536/487?

Answer: GCF of Numerators as per given numbers 300/54, 4536/487 is

GCF of Numerators i.e. for 300,4536 is 12

LCM of denominators i.e. for 54,487 is 26298.

Thus, GCF of Fractions is 12/26298.Finally, GCF of Fractions for 300/54, 4536/487 is 12/26298.