GCD of 213, 648, 40, 602 Calculator

Given Input numbers are 213, 648, 40, 602

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 213, 648, 40, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 648, 40, 602 is 1.

Therefore, GCD of numbers 213, 648, 40, 602 is 1

Given Input Data is 213, 648, 40, 602

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 602 is 2 x 7 x 43

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(213, 648) = 46008

GCD(213, 648) = ( 213 x 648 ) / 46008

GCD(213, 648) = 138024 / 46008

GCD(213, 648) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 213, 648, 40, 602 is 1

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• GCD of 697, 559, 50, 307
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1. What is the GCD of 213, 648, 40, 602?

GCD of 213, 648, 40, 602 is 1

2. Where do I get the detailed procedure to find GCD of 213, 648, 40, 602?

You can find a detailed procedure to find GCD of 213, 648, 40, 602 on our page.

3. How to find GCD of 213, 648, 40, 602 on a calculator?

You can find the GCD of 213, 648, 40, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.