Greatest Common Factor of 299/36, 450/46, 591/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/36, 450/46, 591/577

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 299/36,450/46,591/577

Given fractions are 299/36,450/46,591/577

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 299,450,591

Greatest Common Factor of Numerators i.e. GCF of 299,450,591 is 1 .

LCM of Denominators means LCM of 36,46,577 as per the given fractions.

LCM of 36,46,577 is 477756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,450,591

GCF of Fractions 299/36,450/46,591/577 is 1/477756

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

Greatest Common Factor of 299,450,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,450,591 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

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

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 299,450,591 . The biggest common factor number is the GCF number.
So the greatest common factor 299,450,591 is 1.

Lets's calculate LCM of 36,46,577

2 36, 46, 577
18, 23, 577

∴ So the LCM of the given numbers is 2 x 18 x 23 x 577 = 477756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477756

Therefore, the GCF of Fractions 299/36,450/46,591/577 is 1/477756

Least Common Multiple of 36,46,577 with GCF Formula

Least Common Multiple of 36,46,577 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 36,46,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,46,577) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(36,46,577) x common factors =1 x 2 = 2

LCM(36,46,577) = ( 36 × 46 × 577 ) / 2

LCM(36,46,577) = 955512 / 2

LCM(36,46,577) = 477756


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 299/36, 450/46, 591/577

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 299/36, 450/46, 591/577?

Answer: GCF of Numerators as per given numbers 299/36, 450/46, 591/577 is

GCF of Numerators i.e. for 299,450,591 is 1

LCM of denominators i.e. for 36,46,577 is 477756.

Thus, GCF of Fractions is 1/477756.Finally, GCF of Fractions for 299/36, 450/46, 591/577 is 1/477756.