GCD of 744, 552, 22, 758 Calculator

Given Input numbers are 744, 552, 22, 758

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 22

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

1, 2, 11, 22

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 744, 552, 22, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 552, 22, 758 is 2.

Therefore, GCD of numbers 744, 552, 22, 758 is 2

Given Input Data is 744, 552, 22, 758

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 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 22 is 2 x 11

Prime Factorization of 758 is 2 x 379

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, 552) = 17112

GCD(744, 552) = ( 744 x 552 ) / 17112

GCD(744, 552) = 410688 / 17112

GCD(744, 552) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 22

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

LCM(24, 22) = 264

GCD(24, 22) = ( 24 x 22 ) / 264

GCD(24, 22) = 528 / 264

GCD(24, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 744, 552, 22, 758 is 2

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1. What is the GCD of 744, 552, 22, 758?

GCD of 744, 552, 22, 758 is 2

2. Where do I get the detailed procedure to find GCD of 744, 552, 22, 758?

You can find a detailed procedure to find GCD of 744, 552, 22, 758 on our page.

3. How to find GCD of 744, 552, 22, 758 on a calculator?

You can find the GCD of 744, 552, 22, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.