GCD of 69, 966, 364, 556 Calculator

Given Input numbers are 69, 966, 364, 556

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 69, 966, 364, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 966, 364, 556 is 1.

Therefore, GCD of numbers 69, 966, 364, 556 is 1

Given Input Data is 69, 966, 364, 556

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 556 is 2 x 2 x 139

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(69, 966) = 966

GCD(69, 966) = ( 69 x 966 ) / 966

GCD(69, 966) = 66654 / 966

GCD(69, 966) = 69

Step2:

Here we consider the GCD from the above i.e. 69 as first number and the next as 364

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

LCM(69, 364) = 25116

GCD(69, 364) = ( 69 x 364 ) / 25116

GCD(69, 364) = 25116 / 25116

GCD(69, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 69, 966, 364, 556 is 1

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• GCD of 14, 131, 841, 169
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1. What is the GCD of 69, 966, 364, 556?

GCD of 69, 966, 364, 556 is 1

2. Where do I get the detailed procedure to find GCD of 69, 966, 364, 556?

You can find a detailed procedure to find GCD of 69, 966, 364, 556 on our page.

3. How to find GCD of 69, 966, 364, 556 on a calculator?

You can find the GCD of 69, 966, 364, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.