GCD of 734, 396, 225, 736 Calculator

Given Input numbers are 734, 396, 225, 736

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 734, 396, 225, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 396, 225, 736 is 1.

Therefore, GCD of numbers 734, 396, 225, 736 is 1

Given Input Data is 734, 396, 225, 736

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(734, 396) = 145332

GCD(734, 396) = ( 734 x 396 ) / 145332

GCD(734, 396) = 290664 / 145332

GCD(734, 396) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

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

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 734, 396, 225, 736 is 1

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1. What is the GCD of 734, 396, 225, 736?

GCD of 734, 396, 225, 736 is 1

2. Where do I get the detailed procedure to find GCD of 734, 396, 225, 736?

You can find a detailed procedure to find GCD of 734, 396, 225, 736 on our page.

3. How to find GCD of 734, 396, 225, 736 on a calculator?

You can find the GCD of 734, 396, 225, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.