GCD of 340, 715, 507 Calculator

Given Input numbers are 340, 715, 507

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

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 340, 715, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 715, 507 is 1.

Therefore, GCD of numbers 340, 715, 507 is 1

Given Input Data is 340, 715, 507

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 715 is 5 x 11 x 13

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(340, 715) = 48620

GCD(340, 715) = ( 340 x 715 ) / 48620

GCD(340, 715) = 243100 / 48620

GCD(340, 715) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 507

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

LCM(5, 507) = 2535

GCD(5, 507) = ( 5 x 507 ) / 2535

GCD(5, 507) = 2535 / 2535

GCD(5, 507) = 1

GCD of 340, 715, 507 is 1

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1. What is the GCD of 340, 715, 507?

GCD of 340, 715, 507 is 1

2. Where do I get the detailed procedure to find GCD of 340, 715, 507?

You can find a detailed procedure to find GCD of 340, 715, 507 on our page.

3. How to find GCD of 340, 715, 507 on a calculator?

You can find the GCD of 340, 715, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.