GCD of 588, 477, 732 Calculator

Given Input numbers are 588, 477, 732

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 588, 477, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 477, 732 is 3.

Therefore, GCD of numbers 588, 477, 732 is 3

Given Input Data is 588, 477, 732

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 732 is 2 x 2 x 3 x 61

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(588, 477) = 93492

GCD(588, 477) = ( 588 x 477 ) / 93492

GCD(588, 477) = 280476 / 93492

GCD(588, 477) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 732

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

GCD(3, 732) = 2196 / 732

GCD(3, 732) = 3

GCD of 588, 477, 732 is 3

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1. What is the GCD of 588, 477, 732?

GCD of 588, 477, 732 is 3

2. Where do I get the detailed procedure to find GCD of 588, 477, 732?

You can find a detailed procedure to find GCD of 588, 477, 732 on our page.

3. How to find GCD of 588, 477, 732 on a calculator?

You can find the GCD of 588, 477, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.