GCD of 516, 470, 49, 427 Calculator

Given Input numbers are 516, 470, 49, 427

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 516, 470, 49, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 470, 49, 427 is 1.

Therefore, GCD of numbers 516, 470, 49, 427 is 1

Given Input Data is 516, 470, 49, 427

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 49 is 7 x 7

Prime Factorization of 427 is 7 x 61

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(516, 470) = 121260

GCD(516, 470) = ( 516 x 470 ) / 121260

GCD(516, 470) = 242520 / 121260

GCD(516, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 516, 470, 49, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 728, 84, 404
• GCD of 433, 549, 14, 444
• GCD of 952, 770, 29, 959
• GCD of 647, 869, 30, 470
• GCD of 613, 186, 43, 182

1. What is the GCD of 516, 470, 49, 427?

GCD of 516, 470, 49, 427 is 1

2. Where do I get the detailed procedure to find GCD of 516, 470, 49, 427?

You can find a detailed procedure to find GCD of 516, 470, 49, 427 on our page.

3. How to find GCD of 516, 470, 49, 427 on a calculator?

You can find the GCD of 516, 470, 49, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.