Greatest Common Factor of 501/81, 414/56, 279/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 501/81, 414/56, 279/30

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 501/81,414/56,279/30

Given fractions are 501/81,414/56,279/30

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 501,414,279

Greatest Common Factor of Numerators i.e. GCF of 501,414,279 is 3 .

LCM of Denominators means LCM of 81,56,30 as per the given fractions.

LCM of 81,56,30 is 22680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 501,414,279

GCF of Fractions 501/81,414/56,279/30 is 3/22680

3 501, 414, 279
167, 138, 93

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

Greatest Common Factor of 501,414,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,414,279 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 501,414,279 . The biggest common factor number is the GCF number.
So the greatest common factor 501,414,279 is 3.

Lets's calculate LCM of 81,56,30

2 81, 56, 30
3 81, 28, 15
27, 28, 5

∴ So the LCM of the given numbers is 2 x 3 x 27 x 28 x 5 = 22680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22680

Therefore, the GCF of Fractions 501/81,414/56,279/30 is 3/22680

Least Common Multiple of 81,56,30 with GCF Formula

Least Common Multiple of 81,56,30 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 81,56,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,56,30) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(81,56,30) x common factors =1 x 6 = 6

LCM(81,56,30) = ( 81 × 56 × 30 ) / 6

LCM(81,56,30) = 136080 / 6

LCM(81,56,30) = 22680


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 501/81, 414/56, 279/30

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 501/81, 414/56, 279/30?

Answer: GCF of Numerators as per given numbers 501/81, 414/56, 279/30 is

GCF of Numerators i.e. for 501,414,279 is 3

LCM of denominators i.e. for 81,56,30 is 22680.

Thus, GCF of Fractions is 3/22680.Finally, GCF of Fractions for 501/81, 414/56, 279/30 is 3/22680.