GCD of 610, 966, 936 Calculator

Given Input numbers are 610, 966, 936

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 610, 966, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 966, 936 is 2.

Therefore, GCD of numbers 610, 966, 936 is 2

Given Input Data is 610, 966, 936

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

Prime Factorization of 610 is 2 x 5 x 61

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(610, 966) = 294630

GCD(610, 966) = ( 610 x 966 ) / 294630

GCD(610, 966) = 589260 / 294630

GCD(610, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 936

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

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

GCD(2, 936) = 1872 / 936

GCD(2, 936) = 2

GCD of 610, 966, 936 is 2

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1. What is the GCD of 610, 966, 936?

GCD of 610, 966, 936 is 2

2. Where do I get the detailed procedure to find GCD of 610, 966, 936?

You can find a detailed procedure to find GCD of 610, 966, 936 on our page.

3. How to find GCD of 610, 966, 936 on a calculator?

You can find the GCD of 610, 966, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.