Greatest Common Factor of 814/19, 678/86, 623/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/19, 678/86, 623/80

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 814/19,678/86,623/80

Given fractions are 814/19,678/86,623/80

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 814,678,623

Greatest Common Factor of Numerators i.e. GCF of 814,678,623 is 1 .

LCM of Denominators means LCM of 19,86,80 as per the given fractions.

LCM of 19,86,80 is 65360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,678,623

GCF of Fractions 814/19,678/86,623/80 is 1/65360

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

Greatest Common Factor of 814,678,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,678,623 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 814,678,623 . The biggest common factor number is the GCF number.
So the greatest common factor 814,678,623 is 1.

Lets's calculate LCM of 19,86,80

2 19, 86, 80
19, 43, 40

∴ So the LCM of the given numbers is 2 x 19 x 43 x 40 = 65360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65360

Therefore, the GCF of Fractions 814/19,678/86,623/80 is 1/65360

Least Common Multiple of 19,86,80 with GCF Formula

Least Common Multiple of 19,86,80 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 19,86,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,86,80) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(19,86,80) x common factors =1 x 2 = 2

LCM(19,86,80) = ( 19 × 86 × 80 ) / 2

LCM(19,86,80) = 130720 / 2

LCM(19,86,80) = 65360


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 814/19, 678/86, 623/80

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 814/19, 678/86, 623/80?

Answer: GCF of Numerators as per given numbers 814/19, 678/86, 623/80 is

GCF of Numerators i.e. for 814,678,623 is 1

LCM of denominators i.e. for 19,86,80 is 65360.

Thus, GCF of Fractions is 1/65360.Finally, GCF of Fractions for 814/19, 678/86, 623/80 is 1/65360.