GCD of 446, 966, 59, 339 Calculator

Given Input numbers are 446, 966, 59, 339

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 446, 966, 59, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 966, 59, 339 is 1.

Therefore, GCD of numbers 446, 966, 59, 339 is 1

Given Input Data is 446, 966, 59, 339

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

Prime Factorization of 446 is 2 x 223

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

Prime Factorization of 59 is 59

Prime Factorization of 339 is 3 x 113

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(446, 966) = 215418

GCD(446, 966) = ( 446 x 966 ) / 215418

GCD(446, 966) = 430836 / 215418

GCD(446, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 446, 966, 59, 339 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 360, 69, 984
• GCD of 301, 610, 41, 812
• GCD of 550, 577, 53, 308
• GCD of 310, 536, 16, 604
• GCD of 640, 334, 22, 902

1. What is the GCD of 446, 966, 59, 339?

GCD of 446, 966, 59, 339 is 1

2. Where do I get the detailed procedure to find GCD of 446, 966, 59, 339?

You can find a detailed procedure to find GCD of 446, 966, 59, 339 on our page.

3. How to find GCD of 446, 966, 59, 339 on a calculator?

You can find the GCD of 446, 966, 59, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.