Greatest Common Factor of 807/72, 918/2000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/72, 918/2000

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 807/72,918/2000

Given fractions are 807/72,918/2000

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 807,918

Greatest Common Factor of Numerators i.e. GCF of 807,918 is 3 .

LCM of Denominators means LCM of 72,2000 as per the given fractions.

LCM of 72,2000 is 18000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,918

GCF of Fractions 807/72,918/2000 is 3/18000

3 807, 918
269, 306

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

Greatest Common Factor of 807,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,918 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 807,918 . The biggest common factor number is the GCF number.
So the greatest common factor 807,918 is 3.

Lets's calculate LCM of 72,2000

2 72, 2000
2 36, 1000
2 18, 500
9, 250

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 250 = 18000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18000

Therefore, the GCF of Fractions 807/72,918/2000 is 3/18000

Least Common Multiple of 72,2000 with GCF Formula

Least Common Multiple of 72,2000 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 72,2000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,2000) = 8

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

GCF(72,2000) x common factors =8 x 1 = 8

LCM(72,2000) = ( 72 × 2000 ) / 8

LCM(72,2000) = 144000 / 8

LCM(72,2000) = 18000


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 807/72, 918/2000

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 807/72, 918/2000?

Answer: GCF of Numerators as per given numbers 807/72, 918/2000 is

GCF of Numerators i.e. for 807,918 is 3

LCM of denominators i.e. for 72,2000 is 18000.

Thus, GCF of Fractions is 3/18000.Finally, GCF of Fractions for 807/72, 918/2000 is 3/18000.