GCD of 914, 864, 36, 969 Calculator

Given Input numbers are 914, 864, 36, 969

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 914, 864, 36, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 864, 36, 969 is 1.

Therefore, GCD of numbers 914, 864, 36, 969 is 1

Given Input Data is 914, 864, 36, 969

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

Prime Factorization of 914 is 2 x 457

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 969 is 3 x 17 x 19

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(914, 864) = 394848

GCD(914, 864) = ( 914 x 864 ) / 394848

GCD(914, 864) = 789696 / 394848

GCD(914, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 969

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

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

GCD(2, 969) = 1938 / 1938

GCD(2, 969) = 1

GCD of 914, 864, 36, 969 is 1

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1. What is the GCD of 914, 864, 36, 969?

GCD of 914, 864, 36, 969 is 1

2. Where do I get the detailed procedure to find GCD of 914, 864, 36, 969?

You can find a detailed procedure to find GCD of 914, 864, 36, 969 on our page.

3. How to find GCD of 914, 864, 36, 969 on a calculator?

You can find the GCD of 914, 864, 36, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.