GCD of 588, 600, 29, 964 Calculator

Given Input numbers are 588, 600, 29, 964

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 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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 588, 600, 29, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 600, 29, 964 is 1.

Therefore, GCD of numbers 588, 600, 29, 964 is 1

Given Input Data is 588, 600, 29, 964

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 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 29 is 29

Prime Factorization of 964 is 2 x 2 x 241

The above numbers do not have any common prime factor. So GCD is 1

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, 600) = 29400

GCD(588, 600) = ( 588 x 600 ) / 29400

GCD(588, 600) = 352800 / 29400

GCD(588, 600) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 29

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

LCM(12, 29) = 348

GCD(12, 29) = ( 12 x 29 ) / 348

GCD(12, 29) = 348 / 348

GCD(12, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 588, 600, 29, 964 is 1

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1. What is the GCD of 588, 600, 29, 964?

GCD of 588, 600, 29, 964 is 1

2. Where do I get the detailed procedure to find GCD of 588, 600, 29, 964?

You can find a detailed procedure to find GCD of 588, 600, 29, 964 on our page.

3. How to find GCD of 588, 600, 29, 964 on a calculator?

You can find the GCD of 588, 600, 29, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.