GCD of 366, 564, 34, 969 Calculator

Given Input numbers are 366, 564, 34, 969

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 366, 564, 34, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 564, 34, 969 is 1.

Therefore, GCD of numbers 366, 564, 34, 969 is 1

Given Input Data is 366, 564, 34, 969

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 34 is 2 x 17

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(366, 564) = 34404

GCD(366, 564) = ( 366 x 564 ) / 34404

GCD(366, 564) = 206424 / 34404

GCD(366, 564) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 34

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

LCM(6, 34) = 102

GCD(6, 34) = ( 6 x 34 ) / 102

GCD(6, 34) = 204 / 102

GCD(6, 34) = 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 366, 564, 34, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 944, 40, 726
• GCD of 265, 988, 31, 486
• GCD of 152, 684, 99, 522
• GCD of 148, 227, 68, 957
• GCD of 116, 107, 91, 604

1. What is the GCD of 366, 564, 34, 969?

GCD of 366, 564, 34, 969 is 1

2. Where do I get the detailed procedure to find GCD of 366, 564, 34, 969?

You can find a detailed procedure to find GCD of 366, 564, 34, 969 on our page.

3. How to find GCD of 366, 564, 34, 969 on a calculator?

You can find the GCD of 366, 564, 34, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.