GCD of 424, 972, 68, 993 Calculator

Given Input numbers are 424, 972, 68, 993

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 424, 972, 68, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 972, 68, 993 is 1.

Therefore, GCD of numbers 424, 972, 68, 993 is 1

Given Input Data is 424, 972, 68, 993

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 68 is 2 x 2 x 17

Prime Factorization of 993 is 3 x 331

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 68

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

LCM(4, 68) = 68

GCD(4, 68) = ( 4 x 68 ) / 68

GCD(4, 68) = 272 / 68

GCD(4, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 993

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

LCM(4, 993) = 3972

GCD(4, 993) = ( 4 x 993 ) / 3972

GCD(4, 993) = 3972 / 3972

GCD(4, 993) = 1

GCD of 424, 972, 68, 993 is 1

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1. What is the GCD of 424, 972, 68, 993?

GCD of 424, 972, 68, 993 is 1

2. Where do I get the detailed procedure to find GCD of 424, 972, 68, 993?

You can find a detailed procedure to find GCD of 424, 972, 68, 993 on our page.

3. How to find GCD of 424, 972, 68, 993 on a calculator?

You can find the GCD of 424, 972, 68, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.