GCD of 696, 741, 966, 667 Calculator

Given Input numbers are 696, 741, 966, 667

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 696, 741, 966, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 741, 966, 667 is 1.

Therefore, GCD of numbers 696, 741, 966, 667 is 1

Given Input Data is 696, 741, 966, 667

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 741 is 3 x 13 x 19

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

Prime Factorization of 667 is 23 x 29

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(696, 741) = 171912

GCD(696, 741) = ( 696 x 741 ) / 171912

GCD(696, 741) = 515736 / 171912

GCD(696, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 966

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

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

GCD(3, 966) = 2898 / 966

GCD(3, 966) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 667

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

LCM(3, 667) = 2001

GCD(3, 667) = ( 3 x 667 ) / 2001

GCD(3, 667) = 2001 / 2001

GCD(3, 667) = 1

GCD of 696, 741, 966, 667 is 1

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1. What is the GCD of 696, 741, 966, 667?

GCD of 696, 741, 966, 667 is 1

2. Where do I get the detailed procedure to find GCD of 696, 741, 966, 667?

You can find a detailed procedure to find GCD of 696, 741, 966, 667 on our page.

3. How to find GCD of 696, 741, 966, 667 on a calculator?

You can find the GCD of 696, 741, 966, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.