GCD of 257, 220, 20, 108 Calculator

Given Input numbers are 257, 220, 20, 108

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

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 20

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

1, 2, 4, 5, 10, 20

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 257, 220, 20, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 220, 20, 108 is 1.

Therefore, GCD of numbers 257, 220, 20, 108 is 1

Given Input Data is 257, 220, 20, 108

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

Prime Factorization of 257 is 257

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(257, 220) = 56540

GCD(257, 220) = ( 257 x 220 ) / 56540

GCD(257, 220) = 56540 / 56540

GCD(257, 220) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 257, 220, 20, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 227, 84, 576
• GCD of 187, 552, 20, 292
• GCD of 837, 484, 50, 373
• GCD of 935, 513, 49, 432
• GCD of 911, 846, 55, 455

1. What is the GCD of 257, 220, 20, 108?

GCD of 257, 220, 20, 108 is 1

2. Where do I get the detailed procedure to find GCD of 257, 220, 20, 108?

You can find a detailed procedure to find GCD of 257, 220, 20, 108 on our page.

3. How to find GCD of 257, 220, 20, 108 on a calculator?

You can find the GCD of 257, 220, 20, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.