GCD of 16, 874, 468, 535 Calculator

Given Input numbers are 16, 874, 468, 535

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 16, 874, 468, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 874, 468, 535 is 1.

Therefore, GCD of numbers 16, 874, 468, 535 is 1

Given Input Data is 16, 874, 468, 535

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 874 is 2 x 19 x 23

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 535 is 5 x 107

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, 874) = 6992

GCD(16, 874) = ( 16 x 874 ) / 6992

GCD(16, 874) = 13984 / 6992

GCD(16, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 535

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

LCM(2, 535) = 1070

GCD(2, 535) = ( 2 x 535 ) / 1070

GCD(2, 535) = 1070 / 1070

GCD(2, 535) = 1

GCD of 16, 874, 468, 535 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 489, 809, 105
• GCD of 42, 406, 344, 735
• GCD of 37, 991, 253, 161
• GCD of 72, 810, 729, 416
• GCD of 95, 300, 351, 675

1. What is the GCD of 16, 874, 468, 535?

GCD of 16, 874, 468, 535 is 1

2. Where do I get the detailed procedure to find GCD of 16, 874, 468, 535?

You can find a detailed procedure to find GCD of 16, 874, 468, 535 on our page.

3. How to find GCD of 16, 874, 468, 535 on a calculator?

You can find the GCD of 16, 874, 468, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.