GCD of 36, 914, 747, 296 Calculator

Given Input numbers are 36, 914, 747, 296

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 36, 914, 747, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 914, 747, 296 is 1.

Therefore, GCD of numbers 36, 914, 747, 296 is 1

Given Input Data is 36, 914, 747, 296

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 914 is 2 x 457

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(36, 914) = 16452

GCD(36, 914) = ( 36 x 914 ) / 16452

GCD(36, 914) = 32904 / 16452

GCD(36, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 36, 914, 747, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 576, 191, 830
• GCD of 80, 820, 245, 653
• GCD of 54, 191, 800, 870
• GCD of 71, 412, 432, 129
• GCD of 24, 311, 583, 283

1. What is the GCD of 36, 914, 747, 296?

GCD of 36, 914, 747, 296 is 1

2. Where do I get the detailed procedure to find GCD of 36, 914, 747, 296?

You can find a detailed procedure to find GCD of 36, 914, 747, 296 on our page.

3. How to find GCD of 36, 914, 747, 296 on a calculator?

You can find the GCD of 36, 914, 747, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.