GCD of 978, 820, 81, 264 Calculator

Given Input numbers are 978, 820, 81, 264

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

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 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 978, 820, 81, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 820, 81, 264 is 1.

Therefore, GCD of numbers 978, 820, 81, 264 is 1

Given Input Data is 978, 820, 81, 264

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

Prime Factorization of 978 is 2 x 3 x 163

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(978, 820) = 400980

GCD(978, 820) = ( 978 x 820 ) / 400980

GCD(978, 820) = 801960 / 400980

GCD(978, 820) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 978, 820, 81, 264 is 1

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1. What is the GCD of 978, 820, 81, 264?

GCD of 978, 820, 81, 264 is 1

2. Where do I get the detailed procedure to find GCD of 978, 820, 81, 264?

You can find a detailed procedure to find GCD of 978, 820, 81, 264 on our page.

3. How to find GCD of 978, 820, 81, 264 on a calculator?

You can find the GCD of 978, 820, 81, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.