GCD of 336, 586, 19, 964 Calculator

Given Input numbers are 336, 586, 19, 964

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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 336, 586, 19, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 586, 19, 964 is 1.

Therefore, GCD of numbers 336, 586, 19, 964 is 1

Given Input Data is 336, 586, 19, 964

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 586 is 2 x 293

Prime Factorization of 19 is 19

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(336, 586) = 98448

GCD(336, 586) = ( 336 x 586 ) / 98448

GCD(336, 586) = 196896 / 98448

GCD(336, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 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 336, 586, 19, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 152, 74, 438
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• GCD of 392, 590, 24, 963
• GCD of 137, 924, 51, 764
• GCD of 291, 723, 28, 906

1. What is the GCD of 336, 586, 19, 964?

GCD of 336, 586, 19, 964 is 1

2. Where do I get the detailed procedure to find GCD of 336, 586, 19, 964?

You can find a detailed procedure to find GCD of 336, 586, 19, 964 on our page.

3. How to find GCD of 336, 586, 19, 964 on a calculator?

You can find the GCD of 336, 586, 19, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.