GCD of 744, 234, 603, 652 Calculator

Given Input numbers are 744, 234, 603, 652

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 744, 234, 603, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 234, 603, 652 is 1.

Therefore, GCD of numbers 744, 234, 603, 652 is 1

Given Input Data is 744, 234, 603, 652

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 234 is 2 x 3 x 3 x 13

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 652 is 2 x 2 x 163

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(744, 234) = 29016

GCD(744, 234) = ( 744 x 234 ) / 29016

GCD(744, 234) = 174096 / 29016

GCD(744, 234) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 603

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

LCM(6, 603) = 1206

GCD(6, 603) = ( 6 x 603 ) / 1206

GCD(6, 603) = 3618 / 1206

GCD(6, 603) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 652

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

LCM(3, 652) = 1956

GCD(3, 652) = ( 3 x 652 ) / 1956

GCD(3, 652) = 1956 / 1956

GCD(3, 652) = 1

GCD of 744, 234, 603, 652 is 1

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1. What is the GCD of 744, 234, 603, 652?

GCD of 744, 234, 603, 652 is 1

2. Where do I get the detailed procedure to find GCD of 744, 234, 603, 652?

You can find a detailed procedure to find GCD of 744, 234, 603, 652 on our page.

3. How to find GCD of 744, 234, 603, 652 on a calculator?

You can find the GCD of 744, 234, 603, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.