GCD of 424, 972, 515 Calculator

Given Input numbers are 424, 972, 515

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 424, 972, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 972, 515 is 1.

Therefore, GCD of numbers 424, 972, 515 is 1

Given Input Data is 424, 972, 515

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 515 is 5 x 103

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(424, 972) = 103032

GCD(424, 972) = ( 424 x 972 ) / 103032

GCD(424, 972) = 412128 / 103032

GCD(424, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 515

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

LCM(4, 515) = 2060

GCD(4, 515) = ( 4 x 515 ) / 2060

GCD(4, 515) = 2060 / 2060

GCD(4, 515) = 1

GCD of 424, 972, 515 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 426, 781
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1. What is the GCD of 424, 972, 515?

GCD of 424, 972, 515 is 1

2. Where do I get the detailed procedure to find GCD of 424, 972, 515?

You can find a detailed procedure to find GCD of 424, 972, 515 on our page.

3. How to find GCD of 424, 972, 515 on a calculator?

You can find the GCD of 424, 972, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.