GCD of 16, 145, 618, 983 Calculator

Given Input numbers are 16, 145, 618, 983

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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 16, 145, 618, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 145, 618, 983 is 1.

Therefore, GCD of numbers 16, 145, 618, 983 is 1

Given Input Data is 16, 145, 618, 983

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 145 is 5 x 29

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 983 is 983

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, 145) = 2320

GCD(16, 145) = ( 16 x 145 ) / 2320

GCD(16, 145) = 2320 / 2320

GCD(16, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 16, 145, 618, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 172, 746, 317
• GCD of 47, 946, 756, 286
• GCD of 74, 137, 304, 263
• GCD of 30, 613, 865, 974
• GCD of 29, 641, 611, 578

1. What is the GCD of 16, 145, 618, 983?

GCD of 16, 145, 618, 983 is 1

2. Where do I get the detailed procedure to find GCD of 16, 145, 618, 983?

You can find a detailed procedure to find GCD of 16, 145, 618, 983 on our page.

3. How to find GCD of 16, 145, 618, 983 on a calculator?

You can find the GCD of 16, 145, 618, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.