Greatest Common Factor of 678/68, 798/22, 109/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 678/68, 798/22, 109/811

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 678/68,798/22,109/811

Given fractions are 678/68,798/22,109/811

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 678,798,109

Greatest Common Factor of Numerators i.e. GCF of 678,798,109 is 1 .

LCM of Denominators means LCM of 68,22,811 as per the given fractions.

LCM of 68,22,811 is 606628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 678,798,109

GCF of Fractions 678/68,798/22,109/811 is 1/606628

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

Greatest Common Factor of 678,798,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,798,109 By Matching Biggest Common Factor Method

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 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 678,798,109 . The biggest common factor number is the GCF number.
So the greatest common factor 678,798,109 is 1.

Lets's calculate LCM of 68,22,811

2 68, 22, 811
34, 11, 811

∴ So the LCM of the given numbers is 2 x 34 x 11 x 811 = 606628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606628

Therefore, the GCF of Fractions 678/68,798/22,109/811 is 1/606628

Least Common Multiple of 68,22,811 with GCF Formula

Least Common Multiple of 68,22,811 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 68,22,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,22,811) = 1

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

GCF(68,22,811) x common factors =1 x 2 = 2

LCM(68,22,811) = ( 68 × 22 × 811 ) / 2

LCM(68,22,811) = 1213256 / 2

LCM(68,22,811) = 606628


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 678/68, 798/22, 109/811

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 678/68, 798/22, 109/811?

Answer: GCF of Numerators as per given numbers 678/68, 798/22, 109/811 is

GCF of Numerators i.e. for 678,798,109 is 1

LCM of denominators i.e. for 68,22,811 is 606628.

Thus, GCF of Fractions is 1/606628.Finally, GCF of Fractions for 678/68, 798/22, 109/811 is 1/606628.