GCD of 72, 993, 627, 681 Calculator

Given Input numbers are 72, 993, 627, 681

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 993

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

1, 3, 331, 993

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 72, 993, 627, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 993, 627, 681 is 3.

Therefore, GCD of numbers 72, 993, 627, 681 is 3

Given Input Data is 72, 993, 627, 681

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 993 is 3 x 331

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 681 is 3 x 227

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 993) = 23832

GCD(72, 993) = ( 72 x 993 ) / 23832

GCD(72, 993) = 71496 / 23832

GCD(72, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 627

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

LCM(3, 627) = 627

GCD(3, 627) = ( 3 x 627 ) / 627

GCD(3, 627) = 1881 / 627

GCD(3, 627) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 681

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

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

GCD(3, 681) = 2043 / 681

GCD(3, 681) = 3

GCD of 72, 993, 627, 681 is 3

Here are some samples of GCD of Numbers calculations.

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• GCD of 56, 971, 803, 644

1. What is the GCD of 72, 993, 627, 681?

GCD of 72, 993, 627, 681 is 3

2. Where do I get the detailed procedure to find GCD of 72, 993, 627, 681?

You can find a detailed procedure to find GCD of 72, 993, 627, 681 on our page.

3. How to find GCD of 72, 993, 627, 681 on a calculator?

You can find the GCD of 72, 993, 627, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.