GCD of 600, 663, 372, 477 Calculator

Given Input numbers are 600, 663, 372, 477

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 477

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

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 600, 663, 372, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 663, 372, 477 is 3.

Therefore, GCD of numbers 600, 663, 372, 477 is 3

Given Input Data is 600, 663, 372, 477

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 477 is 3 x 3 x 53

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(600, 663) = 132600

GCD(600, 663) = ( 600 x 663 ) / 132600

GCD(600, 663) = 397800 / 132600

GCD(600, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 372

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

LCM(3, 372) = 372

GCD(3, 372) = ( 3 x 372 ) / 372

GCD(3, 372) = 1116 / 372

GCD(3, 372) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 477

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

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

GCD(3, 477) = 1431 / 477

GCD(3, 477) = 3

GCD of 600, 663, 372, 477 is 3

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1. What is the GCD of 600, 663, 372, 477?

GCD of 600, 663, 372, 477 is 3

2. Where do I get the detailed procedure to find GCD of 600, 663, 372, 477?

You can find a detailed procedure to find GCD of 600, 663, 372, 477 on our page.

3. How to find GCD of 600, 663, 372, 477 on a calculator?

You can find the GCD of 600, 663, 372, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.