Greatest Common Factor of 599/37, 300/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 599/37, 300/416

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 599/37,300/416

Given fractions are 599/37,300/416

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 599,300

Greatest Common Factor of Numerators i.e. GCF of 599,300 is 1 .

LCM of Denominators means LCM of 37,416 as per the given fractions.

LCM of 37,416 is 15392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 599,300

GCF of Fractions 599/37,300/416 is 1/15392

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

Greatest Common Factor of 599,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,300 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

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

Greatest Common Factor

We found the factors 599,300 . The biggest common factor number is the GCF number.
So the greatest common factor 599,300 is 1.

Lets's calculate LCM of 37,416

Given numbers has no common factors except 1. So, there LCM is their product i.e 15392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15392

Therefore, the GCF of Fractions 599/37,300/416 is 1/15392

Least Common Multiple of 37,416 with GCF Formula

Least Common Multiple of 37,416 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 37,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,416) = 1

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

GCF(37,416) x common factors =1 x 1 = 1

LCM(37,416) = ( 37 × 416 ) / 1

LCM(37,416) = 15392 / 1

LCM(37,416) = 15392


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 599/37, 300/416

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 599/37, 300/416?

Answer: GCF of Numerators as per given numbers 599/37, 300/416 is

GCF of Numerators i.e. for 599,300 is 1

LCM of denominators i.e. for 37,416 is 15392.

Thus, GCF of Fractions is 1/15392.Finally, GCF of Fractions for 599/37, 300/416 is 1/15392.