GCD of 55, 407, 507, 345 Calculator

Given Input numbers are 55, 407, 507, 345

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 55, 407, 507, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 407, 507, 345 is 1.

Therefore, GCD of numbers 55, 407, 507, 345 is 1

Given Input Data is 55, 407, 507, 345

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 407 is 11 x 37

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 345 is 3 x 5 x 23

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(55, 407) = 2035

GCD(55, 407) = ( 55 x 407 ) / 2035

GCD(55, 407) = 22385 / 2035

GCD(55, 407) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 507

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

LCM(11, 507) = 5577

GCD(11, 507) = ( 11 x 507 ) / 5577

GCD(11, 507) = 5577 / 5577

GCD(11, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 55, 407, 507, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 233, 905, 819
• GCD of 35, 676, 958, 272
• GCD of 48, 477, 778, 998
• GCD of 36, 899, 596, 805
• GCD of 33, 529, 732, 352

1. What is the GCD of 55, 407, 507, 345?

GCD of 55, 407, 507, 345 is 1

2. Where do I get the detailed procedure to find GCD of 55, 407, 507, 345?

You can find a detailed procedure to find GCD of 55, 407, 507, 345 on our page.

3. How to find GCD of 55, 407, 507, 345 on a calculator?

You can find the GCD of 55, 407, 507, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.