Greatest Common Factor of 504/84, 173/38, 772/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/84, 173/38, 772/36

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 504/84,173/38,772/36

Given fractions are 504/84,173/38,772/36

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 504,173,772

Greatest Common Factor of Numerators i.e. GCF of 504,173,772 is 1 .

LCM of Denominators means LCM of 84,38,36 as per the given fractions.

LCM of 84,38,36 is 4788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,173,772

GCF of Fractions 504/84,173/38,772/36 is 1/4788

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

Greatest Common Factor of 504,173,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,173,772 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 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 504,173,772 . The biggest common factor number is the GCF number.
So the greatest common factor 504,173,772 is 1.

Lets's calculate LCM of 84,38,36

2 84, 38, 36
2 42, 19, 18
3 21, 19, 9
7, 19, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 19 x 3 = 4788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4788

Therefore, the GCF of Fractions 504/84,173/38,772/36 is 1/4788

Least Common Multiple of 84,38,36 with GCF Formula

Least Common Multiple of 84,38,36 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 84,38,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,38,36) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(84,38,36) x common factors =2 x 12 = 24

LCM(84,38,36) = ( 84 × 38 × 36 ) / 24

LCM(84,38,36) = 114912 / 24

LCM(84,38,36) = 4788


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 504/84, 173/38, 772/36

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 504/84, 173/38, 772/36?

Answer: GCF of Numerators as per given numbers 504/84, 173/38, 772/36 is

GCF of Numerators i.e. for 504,173,772 is 1

LCM of denominators i.e. for 84,38,36 is 4788.

Thus, GCF of Fractions is 1/4788.Finally, GCF of Fractions for 504/84, 173/38, 772/36 is 1/4788.