GCD of 701, 905, 459, 966 Calculator

Given Input numbers are 701, 905, 459, 966

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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 701, 905, 459, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 905, 459, 966 is 1.

Therefore, GCD of numbers 701, 905, 459, 966 is 1

Given Input Data is 701, 905, 459, 966

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

Prime Factorization of 701 is 701

Prime Factorization of 905 is 5 x 181

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(701, 905) = 634405

GCD(701, 905) = ( 701 x 905 ) / 634405

GCD(701, 905) = 634405 / 634405

GCD(701, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

Step3:

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 701, 905, 459, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 178, 118, 732
• GCD of 898, 954, 138, 270
• GCD of 875, 198, 145, 125
• GCD of 157, 886, 146, 277
• GCD of 349, 227, 251, 228

1. What is the GCD of 701, 905, 459, 966?

GCD of 701, 905, 459, 966 is 1

2. Where do I get the detailed procedure to find GCD of 701, 905, 459, 966?

You can find a detailed procedure to find GCD of 701, 905, 459, 966 on our page.

3. How to find GCD of 701, 905, 459, 966 on a calculator?

You can find the GCD of 701, 905, 459, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.