GCD of 738, 207, 42, 536 Calculator

Given Input numbers are 738, 207, 42, 536

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 536

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

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

Greatest Common Divisior

We found the divisors of 738, 207, 42, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 207, 42, 536 is 1.

Therefore, GCD of numbers 738, 207, 42, 536 is 1

Given Input Data is 738, 207, 42, 536

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(738, 207) = 16974

GCD(738, 207) = ( 738 x 207 ) / 16974

GCD(738, 207) = 152766 / 16974

GCD(738, 207) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 42

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

LCM(9, 42) = 126

GCD(9, 42) = ( 9 x 42 ) / 126

GCD(9, 42) = 378 / 126

GCD(9, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 536

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

LCM(3, 536) = 1608

GCD(3, 536) = ( 3 x 536 ) / 1608

GCD(3, 536) = 1608 / 1608

GCD(3, 536) = 1

GCD of 738, 207, 42, 536 is 1

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1. What is the GCD of 738, 207, 42, 536?

GCD of 738, 207, 42, 536 is 1

2. Where do I get the detailed procedure to find GCD of 738, 207, 42, 536?

You can find a detailed procedure to find GCD of 738, 207, 42, 536 on our page.

3. How to find GCD of 738, 207, 42, 536 on a calculator?

You can find the GCD of 738, 207, 42, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.