GCD of 16, 374, 953, 904 Calculator

Given Input numbers are 16, 374, 953, 904

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 16, 374, 953, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 374, 953, 904 is 1.

Therefore, GCD of numbers 16, 374, 953, 904 is 1

Given Input Data is 16, 374, 953, 904

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 374 is 2 x 11 x 17

Prime Factorization of 953 is 953

Prime Factorization of 904 is 2 x 2 x 2 x 113

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, 374) = 2992

GCD(16, 374) = ( 16 x 374 ) / 2992

GCD(16, 374) = 5984 / 2992

GCD(16, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 16, 374, 953, 904 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 430, 420, 701
• GCD of 63, 966, 883, 786
• GCD of 45, 153, 513, 789
• GCD of 94, 616, 354, 502
• GCD of 68, 235, 123, 995

1. What is the GCD of 16, 374, 953, 904?

GCD of 16, 374, 953, 904 is 1

2. Where do I get the detailed procedure to find GCD of 16, 374, 953, 904?

You can find a detailed procedure to find GCD of 16, 374, 953, 904 on our page.

3. How to find GCD of 16, 374, 953, 904 on a calculator?

You can find the GCD of 16, 374, 953, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.