GCD of 679, 408, 72, 578 Calculator

Given Input numbers are 679, 408, 72, 578

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 679, 408, 72, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 408, 72, 578 is 1.

Therefore, GCD of numbers 679, 408, 72, 578 is 1

Given Input Data is 679, 408, 72, 578

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 578 is 2 x 17 x 17

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(679, 408) = 277032

GCD(679, 408) = ( 679 x 408 ) / 277032

GCD(679, 408) = 277032 / 277032

GCD(679, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 679, 408, 72, 578 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 924, 32, 639
• GCD of 797, 563, 25, 912
• GCD of 233, 997, 45, 177
• GCD of 697, 724, 72, 886
• GCD of 736, 729, 78, 523

1. What is the GCD of 679, 408, 72, 578?

GCD of 679, 408, 72, 578 is 1

2. Where do I get the detailed procedure to find GCD of 679, 408, 72, 578?

You can find a detailed procedure to find GCD of 679, 408, 72, 578 on our page.

3. How to find GCD of 679, 408, 72, 578 on a calculator?

You can find the GCD of 679, 408, 72, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.