GCD of 662, 320, 408, 533 Calculator

Given Input numbers are 662, 320, 408, 533

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 662, 320, 408, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 320, 408, 533 is 1.

Therefore, GCD of numbers 662, 320, 408, 533 is 1

Given Input Data is 662, 320, 408, 533

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

Prime Factorization of 662 is 2 x 331

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 533 is 13 x 41

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(662, 320) = 105920

GCD(662, 320) = ( 662 x 320 ) / 105920

GCD(662, 320) = 211840 / 105920

GCD(662, 320) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

GCD of 662, 320, 408, 533 is 1

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1. What is the GCD of 662, 320, 408, 533?

GCD of 662, 320, 408, 533 is 1

2. Where do I get the detailed procedure to find GCD of 662, 320, 408, 533?

You can find a detailed procedure to find GCD of 662, 320, 408, 533 on our page.

3. How to find GCD of 662, 320, 408, 533 on a calculator?

You can find the GCD of 662, 320, 408, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.