GCD of 690, 416, 81, 813 Calculator

Given Input numbers are 690, 416, 81, 813

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 690, 416, 81, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 416, 81, 813 is 1.

Therefore, GCD of numbers 690, 416, 81, 813 is 1

Given Input Data is 690, 416, 81, 813

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 813 is 3 x 271

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(690, 416) = 143520

GCD(690, 416) = ( 690 x 416 ) / 143520

GCD(690, 416) = 287040 / 143520

GCD(690, 416) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 690, 416, 81, 813 is 1

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1. What is the GCD of 690, 416, 81, 813?

GCD of 690, 416, 81, 813 is 1

2. Where do I get the detailed procedure to find GCD of 690, 416, 81, 813?

You can find a detailed procedure to find GCD of 690, 416, 81, 813 on our page.

3. How to find GCD of 690, 416, 81, 813 on a calculator?

You can find the GCD of 690, 416, 81, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.