GCD of 355, 260, 509, 507 Calculator

Given Input numbers are 355, 260, 509, 507

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 509

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

1, 509

Divisors of 507

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

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 355, 260, 509, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 260, 509, 507 is 1.

Therefore, GCD of numbers 355, 260, 509, 507 is 1

Given Input Data is 355, 260, 509, 507

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 509 is 509

Prime Factorization of 507 is 3 x 13 x 13

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(355, 260) = 18460

GCD(355, 260) = ( 355 x 260 ) / 18460

GCD(355, 260) = 92300 / 18460

GCD(355, 260) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 509

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

LCM(5, 509) = 2545

GCD(5, 509) = ( 5 x 509 ) / 2545

GCD(5, 509) = 2545 / 2545

GCD(5, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 355, 260, 509, 507 is 1

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• GCD of 922, 743, 144, 616
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1. What is the GCD of 355, 260, 509, 507?

GCD of 355, 260, 509, 507 is 1

2. Where do I get the detailed procedure to find GCD of 355, 260, 509, 507?

You can find a detailed procedure to find GCD of 355, 260, 509, 507 on our page.

3. How to find GCD of 355, 260, 509, 507 on a calculator?

You can find the GCD of 355, 260, 509, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.