Greatest Common Factor of 546/22, 811/34, 379/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/22, 811/34, 379/109

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 546/22,811/34,379/109

Given fractions are 546/22,811/34,379/109

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 546,811,379

Greatest Common Factor of Numerators i.e. GCF of 546,811,379 is 1 .

LCM of Denominators means LCM of 22,34,109 as per the given fractions.

LCM of 22,34,109 is 40766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,811,379

GCF of Fractions 546/22,811/34,379/109 is 1/40766

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

Greatest Common Factor of 546,811,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,811,379 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 546,811,379 . The biggest common factor number is the GCF number.
So the greatest common factor 546,811,379 is 1.

Lets's calculate LCM of 22,34,109

2 22, 34, 109
11, 17, 109

∴ So the LCM of the given numbers is 2 x 11 x 17 x 109 = 40766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40766

Therefore, the GCF of Fractions 546/22,811/34,379/109 is 1/40766

Least Common Multiple of 22,34,109 with GCF Formula

Least Common Multiple of 22,34,109 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 22,34,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,34,109) = 1

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

GCF(22,34,109) x common factors =1 x 2 = 2

LCM(22,34,109) = ( 22 × 34 × 109 ) / 2

LCM(22,34,109) = 81532 / 2

LCM(22,34,109) = 40766


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 546/22, 811/34, 379/109

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 546/22, 811/34, 379/109?

Answer: GCF of Numerators as per given numbers 546/22, 811/34, 379/109 is

GCF of Numerators i.e. for 546,811,379 is 1

LCM of denominators i.e. for 22,34,109 is 40766.

Thus, GCF of Fractions is 1/40766.Finally, GCF of Fractions for 546/22, 811/34, 379/109 is 1/40766.