Greatest Common Factor of 800/23, 300/8112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 800/23, 300/8112

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 800/23,300/8112

Given fractions are 800/23,300/8112

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 800,300

Greatest Common Factor of Numerators i.e. GCF of 800,300 is 100 .

LCM of Denominators means LCM of 23,8112 as per the given fractions.

LCM of 23,8112 is 186576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 800,300

GCF of Fractions 800/23,300/8112 is 100/186576

2 800, 300
2 400, 150
5 200, 75
5 40, 15
8, 3

∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100

Greatest Common Factor of 800,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,300 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

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 800,300 . The biggest common factor number is the GCF number.
So the greatest common factor 800,300 is 100.

Lets's calculate LCM of 23,8112

Given numbers has no common factors except 1. So, there LCM is their product i.e 186576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/186576

Therefore, the GCF of Fractions 800/23,300/8112 is 100/186576

Least Common Multiple of 23,8112 with GCF Formula

Least Common Multiple of 23,8112 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 23,8112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,8112) = 1

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

GCF(23,8112) x common factors =1 x 1 = 1

LCM(23,8112) = ( 23 × 8112 ) / 1

LCM(23,8112) = 186576 / 1

LCM(23,8112) = 186576


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 800/23, 300/8112

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 800/23, 300/8112?

Answer: GCF of Numerators as per given numbers 800/23, 300/8112 is

GCF of Numerators i.e. for 800,300 is 100

LCM of denominators i.e. for 23,8112 is 186576.

Thus, GCF of Fractions is 100/186576.Finally, GCF of Fractions for 800/23, 300/8112 is 100/186576.