GCD of 983, 814, 960, 181 Calculator

Given Input numbers are 983, 814, 960, 181

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

Divisors of 983

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

1, 983

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 983, 814, 960, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 814, 960, 181 is 1.

Therefore, GCD of numbers 983, 814, 960, 181 is 1

Given Input Data is 983, 814, 960, 181

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

Prime Factorization of 983 is 983

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 181 is 181

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(983, 814) = 800162

GCD(983, 814) = ( 983 x 814 ) / 800162

GCD(983, 814) = 800162 / 800162

GCD(983, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

GCD of 983, 814, 960, 181 is 1

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1. What is the GCD of 983, 814, 960, 181?

GCD of 983, 814, 960, 181 is 1

2. Where do I get the detailed procedure to find GCD of 983, 814, 960, 181?

You can find a detailed procedure to find GCD of 983, 814, 960, 181 on our page.

3. How to find GCD of 983, 814, 960, 181 on a calculator?

You can find the GCD of 983, 814, 960, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.