GCD of 149, 571, 585, 956 Calculator

Given Input numbers are 149, 571, 585, 956

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 149, 571, 585, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 571, 585, 956 is 1.

Therefore, GCD of numbers 149, 571, 585, 956 is 1

Given Input Data is 149, 571, 585, 956

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

Prime Factorization of 149 is 149

Prime Factorization of 571 is 571

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 956 is 2 x 2 x 239

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(149, 571) = 85079

GCD(149, 571) = ( 149 x 571 ) / 85079

GCD(149, 571) = 85079 / 85079

GCD(149, 571) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 149, 571, 585, 956 is 1

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1. What is the GCD of 149, 571, 585, 956?

GCD of 149, 571, 585, 956 is 1

2. Where do I get the detailed procedure to find GCD of 149, 571, 585, 956?

You can find a detailed procedure to find GCD of 149, 571, 585, 956 on our page.

3. How to find GCD of 149, 571, 585, 956 on a calculator?

You can find the GCD of 149, 571, 585, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.