GCD of 330, 148, 959, 580 Calculator

Given Input numbers are 330, 148, 959, 580

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

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 330, 148, 959, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 148, 959, 580 is 1.

Therefore, GCD of numbers 330, 148, 959, 580 is 1

Given Input Data is 330, 148, 959, 580

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

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 959 is 7 x 137

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(330, 148) = 24420

GCD(330, 148) = ( 330 x 148 ) / 24420

GCD(330, 148) = 48840 / 24420

GCD(330, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 330, 148, 959, 580 is 1

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• GCD of 825, 294, 369, 913
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1. What is the GCD of 330, 148, 959, 580?

GCD of 330, 148, 959, 580 is 1

2. Where do I get the detailed procedure to find GCD of 330, 148, 959, 580?

You can find a detailed procedure to find GCD of 330, 148, 959, 580 on our page.

3. How to find GCD of 330, 148, 959, 580 on a calculator?

You can find the GCD of 330, 148, 959, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.