GCD of 210, 509, 51 Calculator

Given Input numbers are 210, 509, 51

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 210, 509, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 509, 51 is 1.

Therefore, GCD of numbers 210, 509, 51 is 1

Given Input Data is 210, 509, 51

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 509 is 509

Prime Factorization of 51 is 3 x 17

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(210, 509) = 106890

GCD(210, 509) = ( 210 x 509 ) / 106890

GCD(210, 509) = 106890 / 106890

GCD(210, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

GCD of 210, 509, 51 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 122, 72
• GCD of 161, 246, 53
• GCD of 608, 642, 72
• GCD of 655, 410, 76
• GCD of 949, 708, 73

1. What is the GCD of 210, 509, 51?

GCD of 210, 509, 51 is 1

2. Where do I get the detailed procedure to find GCD of 210, 509, 51?

You can find a detailed procedure to find GCD of 210, 509, 51 on our page.

3. How to find GCD of 210, 509, 51 on a calculator?

You can find the GCD of 210, 509, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.