GCD of 16, 732, 300, 465 Calculator

Given Input numbers are 16, 732, 300, 465

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 16, 732, 300, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 732, 300, 465 is 1.

Therefore, GCD of numbers 16, 732, 300, 465 is 1

Given Input Data is 16, 732, 300, 465

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 465 is 3 x 5 x 31

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(16, 732) = 2928

GCD(16, 732) = ( 16 x 732 ) / 2928

GCD(16, 732) = 11712 / 2928

GCD(16, 732) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 300

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

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

GCD(4, 300) = 1200 / 300

GCD(4, 300) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 465

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

LCM(4, 465) = 1860

GCD(4, 465) = ( 4 x 465 ) / 1860

GCD(4, 465) = 1860 / 1860

GCD(4, 465) = 1

GCD of 16, 732, 300, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 946, 872, 294
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• GCD of 81, 911, 409, 797
• GCD of 71, 105, 154, 189
• GCD of 75, 435, 818, 280

1. What is the GCD of 16, 732, 300, 465?

GCD of 16, 732, 300, 465 is 1

2. Where do I get the detailed procedure to find GCD of 16, 732, 300, 465?

You can find a detailed procedure to find GCD of 16, 732, 300, 465 on our page.

3. How to find GCD of 16, 732, 300, 465 on a calculator?

You can find the GCD of 16, 732, 300, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.