GCD of 814, 513, 606, 106 Calculator

Given Input numbers are 814, 513, 606, 106

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

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 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 814, 513, 606, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 513, 606, 106 is 1.

Therefore, GCD of numbers 814, 513, 606, 106 is 1

Given Input Data is 814, 513, 606, 106

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 106 is 2 x 53

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(814, 513) = 417582

GCD(814, 513) = ( 814 x 513 ) / 417582

GCD(814, 513) = 417582 / 417582

GCD(814, 513) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 606

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

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

GCD(1, 606) = 606 / 606

GCD(1, 606) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 814, 513, 606, 106 is 1

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1. What is the GCD of 814, 513, 606, 106?

GCD of 814, 513, 606, 106 is 1

2. Where do I get the detailed procedure to find GCD of 814, 513, 606, 106?

You can find a detailed procedure to find GCD of 814, 513, 606, 106 on our page.

3. How to find GCD of 814, 513, 606, 106 on a calculator?

You can find the GCD of 814, 513, 606, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.