Greatest Common Factor of 504/582, 3486/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/582, 3486/176

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 504/582,3486/176

Given fractions are 504/582,3486/176

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 504,3486

Greatest Common Factor of Numerators i.e. GCF of 504,3486 is 42 .

LCM of Denominators means LCM of 582,176 as per the given fractions.

LCM of 582,176 is 51216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,3486

GCF of Fractions 504/582,3486/176 is 42/51216

2 504, 3486
3 252, 1743
7 84, 581
12, 83

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 504,3486 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,3486 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 3486

List of positive integer factors of 3486 that divides 3486 without a remainder.

1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486

Greatest Common Factor

We found the factors 504,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 504,3486 is 42.

Lets's calculate LCM of 582,176

2 582, 176
291, 88

∴ So the LCM of the given numbers is 2 x 291 x 88 = 51216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/51216

Therefore, the GCF of Fractions 504/582,3486/176 is 42/51216

Least Common Multiple of 582,176 with GCF Formula

Least Common Multiple of 582,176 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 582,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,176) = 2

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

GCF(582,176) x common factors =2 x 1 = 2

LCM(582,176) = ( 582 × 176 ) / 2

LCM(582,176) = 102432 / 2

LCM(582,176) = 51216


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 504/582, 3486/176

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 504/582, 3486/176?

Answer: GCF of Numerators as per given numbers 504/582, 3486/176 is

GCF of Numerators i.e. for 504,3486 is 42

LCM of denominators i.e. for 582,176 is 51216.

Thus, GCF of Fractions is 42/51216.Finally, GCF of Fractions for 504/582, 3486/176 is 42/51216.