GCD of 334, 443, 966, 320 Calculator

Given Input numbers are 334, 443, 966, 320

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 334, 443, 966, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 443, 966, 320 is 1.

Therefore, GCD of numbers 334, 443, 966, 320 is 1

Given Input Data is 334, 443, 966, 320

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 443 is 443

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(334, 443) = 147962

GCD(334, 443) = ( 334 x 443 ) / 147962

GCD(334, 443) = 147962 / 147962

GCD(334, 443) = 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 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 334, 443, 966, 320 is 1

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1. What is the GCD of 334, 443, 966, 320?

GCD of 334, 443, 966, 320 is 1

2. Where do I get the detailed procedure to find GCD of 334, 443, 966, 320?

You can find a detailed procedure to find GCD of 334, 443, 966, 320 on our page.

3. How to find GCD of 334, 443, 966, 320 on a calculator?

You can find the GCD of 334, 443, 966, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.