GCD of 220, 940, 595, 984 Calculator

Given Input numbers are 220, 940, 595, 984

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 220, 940, 595, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 940, 595, 984 is 1.

Therefore, GCD of numbers 220, 940, 595, 984 is 1

Given Input Data is 220, 940, 595, 984

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 940 is 2 x 2 x 5 x 47

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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, 940) = 10340

GCD(220, 940) = ( 220 x 940 ) / 10340

GCD(220, 940) = 206800 / 10340

GCD(220, 940) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 595

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

LCM(20, 595) = 2380

GCD(20, 595) = ( 20 x 595 ) / 2380

GCD(20, 595) = 11900 / 2380

GCD(20, 595) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 984

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

LCM(5, 984) = 4920

GCD(5, 984) = ( 5 x 984 ) / 4920

GCD(5, 984) = 4920 / 4920

GCD(5, 984) = 1

GCD of 220, 940, 595, 984 is 1

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1. What is the GCD of 220, 940, 595, 984?

GCD of 220, 940, 595, 984 is 1

2. Where do I get the detailed procedure to find GCD of 220, 940, 595, 984?

You can find a detailed procedure to find GCD of 220, 940, 595, 984 on our page.

3. How to find GCD of 220, 940, 595, 984 on a calculator?

You can find the GCD of 220, 940, 595, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.