GCD of 946, 689, 966 Calculator

Given Input numbers are 946, 689, 966

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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

Greatest Common Divisior

We found the divisors of 946, 689, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 689, 966 is 1.

Therefore, GCD of numbers 946, 689, 966 is 1

Given Input Data is 946, 689, 966

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 689 is 13 x 53

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

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(946, 689) = 651794

GCD(946, 689) = ( 946 x 689 ) / 651794

GCD(946, 689) = 651794 / 651794

GCD(946, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 946, 689, 966 is 1

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• GCD of 650, 522, 984
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1. What is the GCD of 946, 689, 966?

GCD of 946, 689, 966 is 1

2. Where do I get the detailed procedure to find GCD of 946, 689, 966?

You can find a detailed procedure to find GCD of 946, 689, 966 on our page.

3. How to find GCD of 946, 689, 966 on a calculator?

You can find the GCD of 946, 689, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.