Greatest Common Factor of 300/38, 572/5595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/38, 572/5595

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 300/38,572/5595

Given fractions are 300/38,572/5595

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 300,572

Greatest Common Factor of Numerators i.e. GCF of 300,572 is 4 .

LCM of Denominators means LCM of 38,5595 as per the given fractions.

LCM of 38,5595 is 212610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,572

GCF of Fractions 300/38,572/5595 is 4/212610

2 300, 572
2 150, 286
75, 143

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 300,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,572 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 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 300,572 . The biggest common factor number is the GCF number.
So the greatest common factor 300,572 is 4.

Lets's calculate LCM of 38,5595

Given numbers has no common factors except 1. So, there LCM is their product i.e 212610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/212610

Therefore, the GCF of Fractions 300/38,572/5595 is 4/212610

Least Common Multiple of 38,5595 with GCF Formula

Least Common Multiple of 38,5595 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 38,5595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,5595) = 1

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

GCF(38,5595) x common factors =1 x 1 = 1

LCM(38,5595) = ( 38 × 5595 ) / 1

LCM(38,5595) = 212610 / 1

LCM(38,5595) = 212610


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 300/38, 572/5595

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 300/38, 572/5595?

Answer: GCF of Numerators as per given numbers 300/38, 572/5595 is

GCF of Numerators i.e. for 300,572 is 4

LCM of denominators i.e. for 38,5595 is 212610.

Thus, GCF of Fractions is 4/212610.Finally, GCF of Fractions for 300/38, 572/5595 is 4/212610.