Greatest Common Factor of 801/493, 300/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 801/493, 300/389

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 801/493,300/389

Given fractions are 801/493,300/389

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 801,300

Greatest Common Factor of Numerators i.e. GCF of 801,300 is 3 .

LCM of Denominators means LCM of 493,389 as per the given fractions.

LCM of 493,389 is 191777 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 801,300

GCF of Fractions 801/493,300/389 is 3/191777

3 801, 300
267, 100

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 801,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,300 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

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 801,300 . The biggest common factor number is the GCF number.
So the greatest common factor 801,300 is 3.

Lets's calculate LCM of 493,389

Given numbers has no common factors except 1. So, there LCM is their product i.e 191777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/191777

Therefore, the GCF of Fractions 801/493,300/389 is 3/191777

Least Common Multiple of 493,389 with GCF Formula

Least Common Multiple of 493,389 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 493,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,389) = 1

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

GCF(493,389) x common factors =1 x 1 = 1

LCM(493,389) = ( 493 × 389 ) / 1

LCM(493,389) = 191777 / 1

LCM(493,389) = 191777


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 801/493, 300/389

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 801/493, 300/389?

Answer: GCF of Numerators as per given numbers 801/493, 300/389 is

GCF of Numerators i.e. for 801,300 is 3

LCM of denominators i.e. for 493,389 is 191777.

Thus, GCF of Fractions is 3/191777.Finally, GCF of Fractions for 801/493, 300/389 is 3/191777.