GCD of 827, 396, 533, 978 Calculator

Given Input numbers are 827, 396, 533, 978

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 827, 396, 533, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 396, 533, 978 is 1.

Therefore, GCD of numbers 827, 396, 533, 978 is 1

Given Input Data is 827, 396, 533, 978

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

Prime Factorization of 827 is 827

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 533 is 13 x 41

Prime Factorization of 978 is 2 x 3 x 163

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(827, 396) = 327492

GCD(827, 396) = ( 827 x 396 ) / 327492

GCD(827, 396) = 327492 / 327492

GCD(827, 396) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 827, 396, 533, 978 is 1

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1. What is the GCD of 827, 396, 533, 978?

GCD of 827, 396, 533, 978 is 1

2. Where do I get the detailed procedure to find GCD of 827, 396, 533, 978?

You can find a detailed procedure to find GCD of 827, 396, 533, 978 on our page.

3. How to find GCD of 827, 396, 533, 978 on a calculator?

You can find the GCD of 827, 396, 533, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.