GCD of 661, 507, 90, 399 Calculator

Given Input numbers are 661, 507, 90, 399

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 661, 507, 90, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 507, 90, 399 is 1.

Therefore, GCD of numbers 661, 507, 90, 399 is 1

Given Input Data is 661, 507, 90, 399

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

Prime Factorization of 661 is 661

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 399 is 3 x 7 x 19

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(661, 507) = 335127

GCD(661, 507) = ( 661 x 507 ) / 335127

GCD(661, 507) = 335127 / 335127

GCD(661, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 661, 507, 90, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 343, 35, 791
• GCD of 771, 638, 30, 212
• GCD of 752, 122, 74, 244
• GCD of 507, 301, 19, 185
• GCD of 269, 917, 33, 442

1. What is the GCD of 661, 507, 90, 399?

GCD of 661, 507, 90, 399 is 1

2. Where do I get the detailed procedure to find GCD of 661, 507, 90, 399?

You can find a detailed procedure to find GCD of 661, 507, 90, 399 on our page.

3. How to find GCD of 661, 507, 90, 399 on a calculator?

You can find the GCD of 661, 507, 90, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.