GCD of 20, 768, 253, 665 Calculator

Given Input numbers are 20, 768, 253, 665

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 20, 768, 253, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 768, 253, 665 is 1.

Therefore, GCD of numbers 20, 768, 253, 665 is 1

Given Input Data is 20, 768, 253, 665

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 253 is 11 x 23

Prime Factorization of 665 is 5 x 7 x 19

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(20, 768) = 3840

GCD(20, 768) = ( 20 x 768 ) / 3840

GCD(20, 768) = 15360 / 3840

GCD(20, 768) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 253

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

LCM(4, 253) = 1012

GCD(4, 253) = ( 4 x 253 ) / 1012

GCD(4, 253) = 1012 / 1012

GCD(4, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 665

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

LCM(1, 665) = 665

GCD(1, 665) = ( 1 x 665 ) / 665

GCD(1, 665) = 665 / 665

GCD(1, 665) = 1

GCD of 20, 768, 253, 665 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 730, 751, 509
• GCD of 23, 537, 524, 203
• GCD of 79, 667, 538, 784
• GCD of 25, 308, 268, 624
• GCD of 24, 521, 344, 115

1. What is the GCD of 20, 768, 253, 665?

GCD of 20, 768, 253, 665 is 1

2. Where do I get the detailed procedure to find GCD of 20, 768, 253, 665?

You can find a detailed procedure to find GCD of 20, 768, 253, 665 on our page.

3. How to find GCD of 20, 768, 253, 665 on a calculator?

You can find the GCD of 20, 768, 253, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.