GCD of 220, 646, 31, 998 Calculator

Given Input numbers are 220, 646, 31, 998

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 220, 646, 31, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 646, 31, 998 is 1.

Therefore, GCD of numbers 220, 646, 31, 998 is 1

Given Input Data is 220, 646, 31, 998

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 646 is 2 x 17 x 19

Prime Factorization of 31 is 31

Prime Factorization of 998 is 2 x 499

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, 646) = 71060

GCD(220, 646) = ( 220 x 646 ) / 71060

GCD(220, 646) = 142120 / 71060

GCD(220, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 220, 646, 31, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 639, 90, 887
• GCD of 854, 731, 19, 490
• GCD of 447, 273, 31, 260
• GCD of 934, 333, 77, 558
• GCD of 946, 732, 19, 507

1. What is the GCD of 220, 646, 31, 998?

GCD of 220, 646, 31, 998 is 1

2. Where do I get the detailed procedure to find GCD of 220, 646, 31, 998?

You can find a detailed procedure to find GCD of 220, 646, 31, 998 on our page.

3. How to find GCD of 220, 646, 31, 998 on a calculator?

You can find the GCD of 220, 646, 31, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.