GCD of 340, 706, 505 Calculator

Given Input numbers are 340, 706, 505

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 340, 706, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 706, 505 is 1.

Therefore, GCD of numbers 340, 706, 505 is 1

Given Input Data is 340, 706, 505

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 706 is 2 x 353

Prime Factorization of 505 is 5 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(340, 706) = 120020

GCD(340, 706) = ( 340 x 706 ) / 120020

GCD(340, 706) = 240040 / 120020

GCD(340, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

GCD of 340, 706, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 704, 272
• GCD of 490, 406, 975
• GCD of 214, 681, 177
• GCD of 755, 303, 111
• GCD of 628, 871, 931

1. What is the GCD of 340, 706, 505?

GCD of 340, 706, 505 is 1

2. Where do I get the detailed procedure to find GCD of 340, 706, 505?

You can find a detailed procedure to find GCD of 340, 706, 505 on our page.

3. How to find GCD of 340, 706, 505 on a calculator?

You can find the GCD of 340, 706, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.