GCD of 744, 111, 84, 693 Calculator

Given Input numbers are 744, 111, 84, 693

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 744, 111, 84, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 111, 84, 693 is 3.

Therefore, GCD of numbers 744, 111, 84, 693 is 3

Given Input Data is 744, 111, 84, 693

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 111 is 3 x 37

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(744, 111) = 27528

GCD(744, 111) = ( 744 x 111 ) / 27528

GCD(744, 111) = 82584 / 27528

GCD(744, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 693

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

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

GCD(3, 693) = 2079 / 693

GCD(3, 693) = 3

GCD of 744, 111, 84, 693 is 3

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1. What is the GCD of 744, 111, 84, 693?

GCD of 744, 111, 84, 693 is 3

2. Where do I get the detailed procedure to find GCD of 744, 111, 84, 693?

You can find a detailed procedure to find GCD of 744, 111, 84, 693 on our page.

3. How to find GCD of 744, 111, 84, 693 on a calculator?

You can find the GCD of 744, 111, 84, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.