GCD of 584, 624, 15, 678 Calculator

Given Input numbers are 584, 624, 15, 678

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

Divisors of 584

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

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 584, 624, 15, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 624, 15, 678 is 1.

Therefore, GCD of numbers 584, 624, 15, 678 is 1

Given Input Data is 584, 624, 15, 678

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

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 15 is 3 x 5

Prime Factorization of 678 is 2 x 3 x 113

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(584, 624) = 45552

GCD(584, 624) = ( 584 x 624 ) / 45552

GCD(584, 624) = 364416 / 45552

GCD(584, 624) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 15

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

LCM(8, 15) = 120

GCD(8, 15) = ( 8 x 15 ) / 120

GCD(8, 15) = 120 / 120

GCD(8, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 584, 624, 15, 678 is 1

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1. What is the GCD of 584, 624, 15, 678?

GCD of 584, 624, 15, 678 is 1

2. Where do I get the detailed procedure to find GCD of 584, 624, 15, 678?

You can find a detailed procedure to find GCD of 584, 624, 15, 678 on our page.

3. How to find GCD of 584, 624, 15, 678 on a calculator?

You can find the GCD of 584, 624, 15, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.