GCD of 660, 330, 827, 590 Calculator

Given Input numbers are 660, 330, 827, 590

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 660, 330, 827, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 330, 827, 590 is 1.

Therefore, GCD of numbers 660, 330, 827, 590 is 1

Given Input Data is 660, 330, 827, 590

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 827 is 827

Prime Factorization of 590 is 2 x 5 x 59

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(660, 330) = 660

GCD(660, 330) = ( 660 x 330 ) / 660

GCD(660, 330) = 217800 / 660

GCD(660, 330) = 330

Step2:

Here we consider the GCD from the above i.e. 330 as first number and the next as 827

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

LCM(330, 827) = 272910

GCD(330, 827) = ( 330 x 827 ) / 272910

GCD(330, 827) = 272910 / 272910

GCD(330, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 660, 330, 827, 590 is 1

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1. What is the GCD of 660, 330, 827, 590?

GCD of 660, 330, 827, 590 is 1

2. Where do I get the detailed procedure to find GCD of 660, 330, 827, 590?

You can find a detailed procedure to find GCD of 660, 330, 827, 590 on our page.

3. How to find GCD of 660, 330, 827, 590 on a calculator?

You can find the GCD of 660, 330, 827, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.