GCD of 924, 735, 16, 453 Calculator

Given Input numbers are 924, 735, 16, 453

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 924, 735, 16, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 735, 16, 453 is 1.

Therefore, GCD of numbers 924, 735, 16, 453 is 1

Given Input Data is 924, 735, 16, 453

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 735 is 3 x 5 x 7 x 7

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

Prime Factorization of 453 is 3 x 151

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(924, 735) = 32340

GCD(924, 735) = ( 924 x 735 ) / 32340

GCD(924, 735) = 679140 / 32340

GCD(924, 735) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 16

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

LCM(21, 16) = 336

GCD(21, 16) = ( 21 x 16 ) / 336

GCD(21, 16) = 336 / 336

GCD(21, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 924, 735, 16, 453 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 447, 84, 388
• GCD of 536, 131, 50, 924
• GCD of 863, 457, 81, 747
• GCD of 391, 736, 23, 372
• GCD of 180, 635, 33, 463

1. What is the GCD of 924, 735, 16, 453?

GCD of 924, 735, 16, 453 is 1

2. Where do I get the detailed procedure to find GCD of 924, 735, 16, 453?

You can find a detailed procedure to find GCD of 924, 735, 16, 453 on our page.

3. How to find GCD of 924, 735, 16, 453 on a calculator?

You can find the GCD of 924, 735, 16, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.