GCD of 390, 249, 67, 909 Calculator

Given Input numbers are 390, 249, 67, 909

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 390, 249, 67, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 249, 67, 909 is 1.

Therefore, GCD of numbers 390, 249, 67, 909 is 1

Given Input Data is 390, 249, 67, 909

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 249 is 3 x 83

Prime Factorization of 67 is 67

Prime Factorization of 909 is 3 x 3 x 101

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(390, 249) = 32370

GCD(390, 249) = ( 390 x 249 ) / 32370

GCD(390, 249) = 97110 / 32370

GCD(390, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 67

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

LCM(3, 67) = 201

GCD(3, 67) = ( 3 x 67 ) / 201

GCD(3, 67) = 201 / 201

GCD(3, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 390, 249, 67, 909 is 1

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1. What is the GCD of 390, 249, 67, 909?

GCD of 390, 249, 67, 909 is 1

2. Where do I get the detailed procedure to find GCD of 390, 249, 67, 909?

You can find a detailed procedure to find GCD of 390, 249, 67, 909 on our page.

3. How to find GCD of 390, 249, 67, 909 on a calculator?

You can find the GCD of 390, 249, 67, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.