GCD of 744, 536, 22, 418 Calculator

Given Input numbers are 744, 536, 22, 418

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 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 744, 536, 22, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 536, 22, 418 is 2.

Therefore, GCD of numbers 744, 536, 22, 418 is 2

Given Input Data is 744, 536, 22, 418

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 536 is 2 x 2 x 2 x 67

Prime Factorization of 22 is 2 x 11

Prime Factorization of 418 is 2 x 11 x 19

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(744, 536) = 49848

GCD(744, 536) = ( 744 x 536 ) / 49848

GCD(744, 536) = 398784 / 49848

GCD(744, 536) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 22

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

LCM(8, 22) = 88

GCD(8, 22) = ( 8 x 22 ) / 88

GCD(8, 22) = 176 / 88

GCD(8, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

GCD of 744, 536, 22, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 395, 25, 119
• GCD of 222, 444, 31, 374
• GCD of 986, 142, 38, 420
• GCD of 710, 190, 40, 752
• GCD of 387, 196, 45, 828

1. What is the GCD of 744, 536, 22, 418?

GCD of 744, 536, 22, 418 is 2

2. Where do I get the detailed procedure to find GCD of 744, 536, 22, 418?

You can find a detailed procedure to find GCD of 744, 536, 22, 418 on our page.

3. How to find GCD of 744, 536, 22, 418 on a calculator?

You can find the GCD of 744, 536, 22, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.