GCD of 474, 341, 966, 322 Calculator

Given Input numbers are 474, 341, 966, 322

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 474, 341, 966, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 341, 966, 322 is 1.

Therefore, GCD of numbers 474, 341, 966, 322 is 1

Given Input Data is 474, 341, 966, 322

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 341 is 11 x 31

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

Prime Factorization of 322 is 2 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(474, 341) = 161634

GCD(474, 341) = ( 474 x 341 ) / 161634

GCD(474, 341) = 161634 / 161634

GCD(474, 341) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 474, 341, 966, 322 is 1

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1. What is the GCD of 474, 341, 966, 322?

GCD of 474, 341, 966, 322 is 1

2. Where do I get the detailed procedure to find GCD of 474, 341, 966, 322?

You can find a detailed procedure to find GCD of 474, 341, 966, 322 on our page.

3. How to find GCD of 474, 341, 966, 322 on a calculator?

You can find the GCD of 474, 341, 966, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.