GCD of 455, 953, 990, 320 Calculator

Given Input numbers are 455, 953, 990, 320

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 455, 953, 990, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 953, 990, 320 is 1.

Therefore, GCD of numbers 455, 953, 990, 320 is 1

Given Input Data is 455, 953, 990, 320

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 953 is 953

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(455, 953) = 433615

GCD(455, 953) = ( 455 x 953 ) / 433615

GCD(455, 953) = 433615 / 433615

GCD(455, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 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 455, 953, 990, 320 is 1

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1. What is the GCD of 455, 953, 990, 320?

GCD of 455, 953, 990, 320 is 1

2. Where do I get the detailed procedure to find GCD of 455, 953, 990, 320?

You can find a detailed procedure to find GCD of 455, 953, 990, 320 on our page.

3. How to find GCD of 455, 953, 990, 320 on a calculator?

You can find the GCD of 455, 953, 990, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.