Greatest Common Factor of 68/811, 920/664, 999/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/811, 920/664, 999/469

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 68/811,920/664,999/469

Given fractions are 68/811,920/664,999/469

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 68,920,999

Greatest Common Factor of Numerators i.e. GCF of 68,920,999 is 1 .

LCM of Denominators means LCM of 811,664,469 as per the given fractions.

LCM of 811,664,469 is 252558376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,920,999

GCF of Fractions 68/811,920/664,999/469 is 1/252558376

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

Greatest Common Factor of 68,920,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,920,999 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 68,920,999 . The biggest common factor number is the GCF number.
So the greatest common factor 68,920,999 is 1.

Lets's calculate LCM of 811,664,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 252558376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252558376

Therefore, the GCF of Fractions 68/811,920/664,999/469 is 1/252558376

Least Common Multiple of 811,664,469 with GCF Formula

Least Common Multiple of 811,664,469 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 811,664,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,664,469) = 1

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

GCF(811,664,469) x common factors =1 x 1 = 1

LCM(811,664,469) = ( 811 × 664 × 469 ) / 1

LCM(811,664,469) = 252558376 / 1

LCM(811,664,469) = 252558376


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 68/811, 920/664, 999/469

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 68/811, 920/664, 999/469?

Answer: GCF of Numerators as per given numbers 68/811, 920/664, 999/469 is

GCF of Numerators i.e. for 68,920,999 is 1

LCM of denominators i.e. for 811,664,469 is 252558376.

Thus, GCF of Fractions is 1/252558376.Finally, GCF of Fractions for 68/811, 920/664, 999/469 is 1/252558376.