Greatest Common Factor of 561/81, 126/14, 684/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/81, 126/14, 684/41

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 561/81,126/14,684/41

Given fractions are 561/81,126/14,684/41

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 561,126,684

Greatest Common Factor of Numerators i.e. GCF of 561,126,684 is 3 .

LCM of Denominators means LCM of 81,14,41 as per the given fractions.

LCM of 81,14,41 is 46494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,126,684

GCF of Fractions 561/81,126/14,684/41 is 3/46494

3 561, 126, 684
187, 42, 228

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

Greatest Common Factor of 561,126,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,126,684 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 561,126,684 . The biggest common factor number is the GCF number.
So the greatest common factor 561,126,684 is 3.

Lets's calculate LCM of 81,14,41

Given numbers has no common factors except 1. So, there LCM is their product i.e 46494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46494

Therefore, the GCF of Fractions 561/81,126/14,684/41 is 3/46494

Least Common Multiple of 81,14,41 with GCF Formula

Least Common Multiple of 81,14,41 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 81,14,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,14,41) = 1

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

GCF(81,14,41) x common factors =1 x 1 = 1

LCM(81,14,41) = ( 81 × 14 × 41 ) / 1

LCM(81,14,41) = 46494 / 1

LCM(81,14,41) = 46494


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 561/81, 126/14, 684/41

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 561/81, 126/14, 684/41?

Answer: GCF of Numerators as per given numbers 561/81, 126/14, 684/41 is

GCF of Numerators i.e. for 561,126,684 is 3

LCM of denominators i.e. for 81,14,41 is 46494.

Thus, GCF of Fractions is 3/46494.Finally, GCF of Fractions for 561/81, 126/14, 684/41 is 3/46494.