GCD of 156, 578, 820, 951 Calculator

Given Input numbers are 156, 578, 820, 951

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Greatest Common Divisior

We found the divisors of 156, 578, 820, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 578, 820, 951 is 1.

Therefore, GCD of numbers 156, 578, 820, 951 is 1

Given Input Data is 156, 578, 820, 951

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 951 is 3 x 317

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(156, 578) = 45084

GCD(156, 578) = ( 156 x 578 ) / 45084

GCD(156, 578) = 90168 / 45084

GCD(156, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 951

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

LCM(2, 951) = 1902

GCD(2, 951) = ( 2 x 951 ) / 1902

GCD(2, 951) = 1902 / 1902

GCD(2, 951) = 1

GCD of 156, 578, 820, 951 is 1

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1. What is the GCD of 156, 578, 820, 951?

GCD of 156, 578, 820, 951 is 1

2. Where do I get the detailed procedure to find GCD of 156, 578, 820, 951?

You can find a detailed procedure to find GCD of 156, 578, 820, 951 on our page.

3. How to find GCD of 156, 578, 820, 951 on a calculator?

You can find the GCD of 156, 578, 820, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.