GCD of 509, 265, 212 Calculator

Given Input numbers are 509, 265, 212

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

Divisors of 509

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

1, 509

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 509, 265, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 265, 212 is 1.

Therefore, GCD of numbers 509, 265, 212 is 1

Given Input Data is 509, 265, 212

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

Prime Factorization of 509 is 509

Prime Factorization of 265 is 5 x 53

Prime Factorization of 212 is 2 x 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(509, 265) = 134885

GCD(509, 265) = ( 509 x 265 ) / 134885

GCD(509, 265) = 134885 / 134885

GCD(509, 265) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 509, 265, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 160, 456
• GCD of 927, 159, 915
• GCD of 624, 456, 580
• GCD of 307, 895, 511
• GCD of 449, 115, 880

1. What is the GCD of 509, 265, 212?

GCD of 509, 265, 212 is 1

2. Where do I get the detailed procedure to find GCD of 509, 265, 212?

You can find a detailed procedure to find GCD of 509, 265, 212 on our page.

3. How to find GCD of 509, 265, 212 on a calculator?

You can find the GCD of 509, 265, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.