GCD of 220, 768, 155, 813 Calculator

Given Input numbers are 220, 768, 155, 813

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 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 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 220, 768, 155, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 768, 155, 813 is 1.

Therefore, GCD of numbers 220, 768, 155, 813 is 1

Given Input Data is 220, 768, 155, 813

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 155 is 5 x 31

Prime Factorization of 813 is 3 x 271

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, 768) = 42240

GCD(220, 768) = ( 220 x 768 ) / 42240

GCD(220, 768) = 168960 / 42240

GCD(220, 768) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 155

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

LCM(4, 155) = 620

GCD(4, 155) = ( 4 x 155 ) / 620

GCD(4, 155) = 620 / 620

GCD(4, 155) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 220, 768, 155, 813 is 1

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1. What is the GCD of 220, 768, 155, 813?

GCD of 220, 768, 155, 813 is 1

2. Where do I get the detailed procedure to find GCD of 220, 768, 155, 813?

You can find a detailed procedure to find GCD of 220, 768, 155, 813 on our page.

3. How to find GCD of 220, 768, 155, 813 on a calculator?

You can find the GCD of 220, 768, 155, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.