GCD of 966, 434, 61, 593 Calculator

Given Input numbers are 966, 434, 61, 593

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

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Greatest Common Divisior

We found the divisors of 966, 434, 61, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 434, 61, 593 is 1.

Therefore, GCD of numbers 966, 434, 61, 593 is 1

Given Input Data is 966, 434, 61, 593

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

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 61 is 61

Prime Factorization of 593 is 593

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(966, 434) = 29946

GCD(966, 434) = ( 966 x 434 ) / 29946

GCD(966, 434) = 419244 / 29946

GCD(966, 434) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 61

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

LCM(14, 61) = 854

GCD(14, 61) = ( 14 x 61 ) / 854

GCD(14, 61) = 854 / 854

GCD(14, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 593

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

LCM(1, 593) = 593

GCD(1, 593) = ( 1 x 593 ) / 593

GCD(1, 593) = 593 / 593

GCD(1, 593) = 1

GCD of 966, 434, 61, 593 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 707, 17, 683
• GCD of 319, 897, 84, 496
• GCD of 536, 746, 46, 357
• GCD of 122, 897, 11, 489
• GCD of 693, 385, 75, 845

1. What is the GCD of 966, 434, 61, 593?

GCD of 966, 434, 61, 593 is 1

2. Where do I get the detailed procedure to find GCD of 966, 434, 61, 593?

You can find a detailed procedure to find GCD of 966, 434, 61, 593 on our page.

3. How to find GCD of 966, 434, 61, 593 on a calculator?

You can find the GCD of 966, 434, 61, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.