GCD of 244, 340, 20, 657 Calculator

Given Input numbers are 244, 340, 20, 657

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

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 244, 340, 20, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 244, 340, 20, 657 is 1.

Therefore, GCD of numbers 244, 340, 20, 657 is 1

Given Input Data is 244, 340, 20, 657

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

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 657 is 3 x 3 x 73

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(244, 340) = 20740

GCD(244, 340) = ( 244 x 340 ) / 20740

GCD(244, 340) = 82960 / 20740

GCD(244, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 657

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

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

GCD(4, 657) = 2628 / 2628

GCD(4, 657) = 1

GCD of 244, 340, 20, 657 is 1

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1. What is the GCD of 244, 340, 20, 657?

GCD of 244, 340, 20, 657 is 1

2. Where do I get the detailed procedure to find GCD of 244, 340, 20, 657?

You can find a detailed procedure to find GCD of 244, 340, 20, 657 on our page.

3. How to find GCD of 244, 340, 20, 657 on a calculator?

You can find the GCD of 244, 340, 20, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.