GCD of 582, 734, 10, 679 Calculator

Given Input numbers are 582, 734, 10, 679

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 679

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

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 582, 734, 10, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 734, 10, 679 is 1.

Therefore, GCD of numbers 582, 734, 10, 679 is 1

Given Input Data is 582, 734, 10, 679

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 734 is 2 x 367

Prime Factorization of 10 is 2 x 5

Prime Factorization of 679 is 7 x 97

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(582, 734) = 213594

GCD(582, 734) = ( 582 x 734 ) / 213594

GCD(582, 734) = 427188 / 213594

GCD(582, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 679

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

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

GCD(2, 679) = 1358 / 1358

GCD(2, 679) = 1

GCD of 582, 734, 10, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 693, 95, 604
• GCD of 289, 153, 11, 755
• GCD of 891, 732, 44, 579
• GCD of 100, 328, 41, 410
• GCD of 441, 872, 12, 216

1. What is the GCD of 582, 734, 10, 679?

GCD of 582, 734, 10, 679 is 1

2. Where do I get the detailed procedure to find GCD of 582, 734, 10, 679?

You can find a detailed procedure to find GCD of 582, 734, 10, 679 on our page.

3. How to find GCD of 582, 734, 10, 679 on a calculator?

You can find the GCD of 582, 734, 10, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.