Greatest Common Factor of 504/48, 948/18, 561/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/48, 948/18, 561/82

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 504/48,948/18,561/82

Given fractions are 504/48,948/18,561/82

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 504,948,561

Greatest Common Factor of Numerators i.e. GCF of 504,948,561 is 3 .

LCM of Denominators means LCM of 48,18,82 as per the given fractions.

LCM of 48,18,82 is 5904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,948,561

GCF of Fractions 504/48,948/18,561/82 is 3/5904

3 504, 948, 561
168, 316, 187

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

Greatest Common Factor of 504,948,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,948,561 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 561

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

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

Greatest Common Factor

We found the factors 504,948,561 . The biggest common factor number is the GCF number.
So the greatest common factor 504,948,561 is 3.

Lets's calculate LCM of 48,18,82

2 48, 18, 82
3 24, 9, 41
8, 3, 41

∴ So the LCM of the given numbers is 2 x 3 x 8 x 3 x 41 = 5904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5904

Therefore, the GCF of Fractions 504/48,948/18,561/82 is 3/5904

Least Common Multiple of 48,18,82 with GCF Formula

Least Common Multiple of 48,18,82 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 48,18,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,18,82) = 2

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

GCF(48,18,82) x common factors =2 x 6 = 12

LCM(48,18,82) = ( 48 × 18 × 82 ) / 12

LCM(48,18,82) = 70848 / 12

LCM(48,18,82) = 5904


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 504/48, 948/18, 561/82

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 504/48, 948/18, 561/82?

Answer: GCF of Numerators as per given numbers 504/48, 948/18, 561/82 is

GCF of Numerators i.e. for 504,948,561 is 3

LCM of denominators i.e. for 48,18,82 is 5904.

Thus, GCF of Fractions is 3/5904.Finally, GCF of Fractions for 504/48, 948/18, 561/82 is 3/5904.