GCD of 585, 964, 851, 308 Calculator

Given Input numbers are 585, 964, 851, 308

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

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 964

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

1, 2, 4, 241, 482, 964

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 585, 964, 851, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 964, 851, 308 is 1.

Therefore, GCD of numbers 585, 964, 851, 308 is 1

Given Input Data is 585, 964, 851, 308

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

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 851 is 23 x 37

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(585, 964) = 563940

GCD(585, 964) = ( 585 x 964 ) / 563940

GCD(585, 964) = 563940 / 563940

GCD(585, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 585, 964, 851, 308 is 1

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1. What is the GCD of 585, 964, 851, 308?

GCD of 585, 964, 851, 308 is 1

2. Where do I get the detailed procedure to find GCD of 585, 964, 851, 308?

You can find a detailed procedure to find GCD of 585, 964, 851, 308 on our page.

3. How to find GCD of 585, 964, 851, 308 on a calculator?

You can find the GCD of 585, 964, 851, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.