GCD of 864, 532, 836, 997 Calculator

Given Input numbers are 864, 532, 836, 997

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 864, 532, 836, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 532, 836, 997 is 1.

Therefore, GCD of numbers 864, 532, 836, 997 is 1

Given Input Data is 864, 532, 836, 997

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 997 is 997

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(864, 532) = 114912

GCD(864, 532) = ( 864 x 532 ) / 114912

GCD(864, 532) = 459648 / 114912

GCD(864, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 836

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

LCM(4, 836) = 836

GCD(4, 836) = ( 4 x 836 ) / 836

GCD(4, 836) = 3344 / 836

GCD(4, 836) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 997

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

LCM(4, 997) = 3988

GCD(4, 997) = ( 4 x 997 ) / 3988

GCD(4, 997) = 3988 / 3988

GCD(4, 997) = 1

GCD of 864, 532, 836, 997 is 1

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1. What is the GCD of 864, 532, 836, 997?

GCD of 864, 532, 836, 997 is 1

2. Where do I get the detailed procedure to find GCD of 864, 532, 836, 997?

You can find a detailed procedure to find GCD of 864, 532, 836, 997 on our page.

3. How to find GCD of 864, 532, 836, 997 on a calculator?

You can find the GCD of 864, 532, 836, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.