GCD of 69, 336, 551, 584 Calculator

Given Input numbers are 69, 336, 551, 584

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 69, 336, 551, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 336, 551, 584 is 1.

Therefore, GCD of numbers 69, 336, 551, 584 is 1

Given Input Data is 69, 336, 551, 584

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

Prime Factorization of 69 is 3 x 23

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

Prime Factorization of 551 is 19 x 29

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(69, 336) = 7728

GCD(69, 336) = ( 69 x 336 ) / 7728

GCD(69, 336) = 23184 / 7728

GCD(69, 336) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 551

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

LCM(3, 551) = 1653

GCD(3, 551) = ( 3 x 551 ) / 1653

GCD(3, 551) = 1653 / 1653

GCD(3, 551) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 69, 336, 551, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 937, 575, 808
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• GCD of 68, 707, 839, 355

1. What is the GCD of 69, 336, 551, 584?

GCD of 69, 336, 551, 584 is 1

2. Where do I get the detailed procedure to find GCD of 69, 336, 551, 584?

You can find a detailed procedure to find GCD of 69, 336, 551, 584 on our page.

3. How to find GCD of 69, 336, 551, 584 on a calculator?

You can find the GCD of 69, 336, 551, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.