GCD of 220, 742, 36, 983 Calculator

Given Input numbers are 220, 742, 36, 983

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 220, 742, 36, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 742, 36, 983 is 1.

Therefore, GCD of numbers 220, 742, 36, 983 is 1

Given Input Data is 220, 742, 36, 983

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(220, 742) = 81620

GCD(220, 742) = ( 220 x 742 ) / 81620

GCD(220, 742) = 163240 / 81620

GCD(220, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 983

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

LCM(2, 983) = 1966

GCD(2, 983) = ( 2 x 983 ) / 1966

GCD(2, 983) = 1966 / 1966

GCD(2, 983) = 1

GCD of 220, 742, 36, 983 is 1

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• GCD of 576, 908, 91, 419
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1. What is the GCD of 220, 742, 36, 983?

GCD of 220, 742, 36, 983 is 1

2. Where do I get the detailed procedure to find GCD of 220, 742, 36, 983?

You can find a detailed procedure to find GCD of 220, 742, 36, 983 on our page.

3. How to find GCD of 220, 742, 36, 983 on a calculator?

You can find the GCD of 220, 742, 36, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.