GCD of 324, 602, 814, 705 Calculator

Given Input numbers are 324, 602, 814, 705

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 602

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

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 324, 602, 814, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 602, 814, 705 is 1.

Therefore, GCD of numbers 324, 602, 814, 705 is 1

Given Input Data is 324, 602, 814, 705

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 705 is 3 x 5 x 47

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(324, 602) = 97524

GCD(324, 602) = ( 324 x 602 ) / 97524

GCD(324, 602) = 195048 / 97524

GCD(324, 602) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

GCD of 324, 602, 814, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 892, 907, 882
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• GCD of 337, 307, 376, 208
• GCD of 809, 457, 608, 971

1. What is the GCD of 324, 602, 814, 705?

GCD of 324, 602, 814, 705 is 1

2. Where do I get the detailed procedure to find GCD of 324, 602, 814, 705?

You can find a detailed procedure to find GCD of 324, 602, 814, 705 on our page.

3. How to find GCD of 324, 602, 814, 705 on a calculator?

You can find the GCD of 324, 602, 814, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.