GCD of 72, 772, 582, 392 Calculator

Given Input numbers are 72, 772, 582, 392

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

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 72, 772, 582, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 772, 582, 392 is 2.

Therefore, GCD of numbers 72, 772, 582, 392 is 2

Given Input Data is 72, 772, 582, 392

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

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(72, 772) = 13896

GCD(72, 772) = ( 72 x 772 ) / 13896

GCD(72, 772) = 55584 / 13896

GCD(72, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 582

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

LCM(4, 582) = 1164

GCD(4, 582) = ( 4 x 582 ) / 1164

GCD(4, 582) = 2328 / 1164

GCD(4, 582) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 72, 772, 582, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 807, 511, 513
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• GCD of 89, 474, 430, 148

1. What is the GCD of 72, 772, 582, 392?

GCD of 72, 772, 582, 392 is 2

2. Where do I get the detailed procedure to find GCD of 72, 772, 582, 392?

You can find a detailed procedure to find GCD of 72, 772, 582, 392 on our page.

3. How to find GCD of 72, 772, 582, 392 on a calculator?

You can find the GCD of 72, 772, 582, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.