GCD of 634, 688, 772, 966 Calculator

Given Input numbers are 634, 688, 772, 966

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 634, 688, 772, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 688, 772, 966 is 2.

Therefore, GCD of numbers 634, 688, 772, 966 is 2

Given Input Data is 634, 688, 772, 966

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 772 is 2 x 2 x 193

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

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(634, 688) = 218096

GCD(634, 688) = ( 634 x 688 ) / 218096

GCD(634, 688) = 436192 / 218096

GCD(634, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

GCD of 634, 688, 772, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 917, 171, 939
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1. What is the GCD of 634, 688, 772, 966?

GCD of 634, 688, 772, 966 is 2

2. Where do I get the detailed procedure to find GCD of 634, 688, 772, 966?

You can find a detailed procedure to find GCD of 634, 688, 772, 966 on our page.

3. How to find GCD of 634, 688, 772, 966 on a calculator?

You can find the GCD of 634, 688, 772, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.