GCD of 220, 396, 57, 687 Calculator

Given Input numbers are 220, 396, 57, 687

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 220, 396, 57, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 396, 57, 687 is 1.

Therefore, GCD of numbers 220, 396, 57, 687 is 1

Given Input Data is 220, 396, 57, 687

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 687 is 3 x 229

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, 396) = 1980

GCD(220, 396) = ( 220 x 396 ) / 1980

GCD(220, 396) = 87120 / 1980

GCD(220, 396) = 44

Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 57

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

LCM(44, 57) = 2508

GCD(44, 57) = ( 44 x 57 ) / 2508

GCD(44, 57) = 2508 / 2508

GCD(44, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 220, 396, 57, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 691, 26, 518
• GCD of 444, 310, 25, 999
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• GCD of 593, 611, 85, 759
• GCD of 470, 251, 91, 552

1. What is the GCD of 220, 396, 57, 687?

GCD of 220, 396, 57, 687 is 1

2. Where do I get the detailed procedure to find GCD of 220, 396, 57, 687?

You can find a detailed procedure to find GCD of 220, 396, 57, 687 on our page.

3. How to find GCD of 220, 396, 57, 687 on a calculator?

You can find the GCD of 220, 396, 57, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.