GCD of 151, 195, 768, 821 Calculator

Given Input numbers are 151, 195, 768, 821

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

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

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 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 151, 195, 768, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 151, 195, 768, 821 is 1.

Therefore, GCD of numbers 151, 195, 768, 821 is 1

Given Input Data is 151, 195, 768, 821

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

Prime Factorization of 151 is 151

Prime Factorization of 195 is 3 x 5 x 13

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 821 is 821

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(151, 195) = 29445

GCD(151, 195) = ( 151 x 195 ) / 29445

GCD(151, 195) = 29445 / 29445

GCD(151, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 151, 195, 768, 821 is 1

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1. What is the GCD of 151, 195, 768, 821?

GCD of 151, 195, 768, 821 is 1

2. Where do I get the detailed procedure to find GCD of 151, 195, 768, 821?

You can find a detailed procedure to find GCD of 151, 195, 768, 821 on our page.

3. How to find GCD of 151, 195, 768, 821 on a calculator?

You can find the GCD of 151, 195, 768, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.