GCD of 178, 983, 20, 721 Calculator

Given Input numbers are 178, 983, 20, 721

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 983

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

1, 983

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 178, 983, 20, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 983, 20, 721 is 1.

Therefore, GCD of numbers 178, 983, 20, 721 is 1

Given Input Data is 178, 983, 20, 721

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 983 is 983

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 721 is 7 x 103

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(178, 983) = 174974

GCD(178, 983) = ( 178 x 983 ) / 174974

GCD(178, 983) = 174974 / 174974

GCD(178, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 178, 983, 20, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 837, 25, 169
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1. What is the GCD of 178, 983, 20, 721?

GCD of 178, 983, 20, 721 is 1

2. Where do I get the detailed procedure to find GCD of 178, 983, 20, 721?

You can find a detailed procedure to find GCD of 178, 983, 20, 721 on our page.

3. How to find GCD of 178, 983, 20, 721 on a calculator?

You can find the GCD of 178, 983, 20, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.