Greatest Common Factor of 300/144, 199/583, 915/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/144, 199/583, 915/765

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 300/144,199/583,915/765

Given fractions are 300/144,199/583,915/765

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 300,199,915

Greatest Common Factor of Numerators i.e. GCF of 300,199,915 is 1 .

LCM of Denominators means LCM of 144,583,765 as per the given fractions.

LCM of 144,583,765 is 7135920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,199,915

GCF of Fractions 300/144,199/583,915/765 is 1/7135920

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

Greatest Common Factor of 300,199,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,199,915 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 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 300,199,915 . The biggest common factor number is the GCF number.
So the greatest common factor 300,199,915 is 1.

Lets's calculate LCM of 144,583,765

3 144, 583, 765
3 48, 583, 255
16, 583, 85

∴ So the LCM of the given numbers is 3 x 3 x 16 x 583 x 85 = 7135920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7135920

Therefore, the GCF of Fractions 300/144,199/583,915/765 is 1/7135920

Least Common Multiple of 144,583,765 with GCF Formula

Least Common Multiple of 144,583,765 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 144,583,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,583,765) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(144,583,765) x common factors =1 x 9 = 9

LCM(144,583,765) = ( 144 × 583 × 765 ) / 9

LCM(144,583,765) = 64223280 / 9

LCM(144,583,765) = 7135920


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 300/144, 199/583, 915/765

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 300/144, 199/583, 915/765?

Answer: GCF of Numerators as per given numbers 300/144, 199/583, 915/765 is

GCF of Numerators i.e. for 300,199,915 is 1

LCM of denominators i.e. for 144,583,765 is 7135920.

Thus, GCF of Fractions is 1/7135920.Finally, GCF of Fractions for 300/144, 199/583, 915/765 is 1/7135920.