GCD of 207, 138, 780, 817 Calculator

Given Input numbers are 207, 138, 780, 817

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 207, 138, 780, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 138, 780, 817 is 1.

Therefore, GCD of numbers 207, 138, 780, 817 is 1

Given Input Data is 207, 138, 780, 817

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 817 is 19 x 43

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(207, 138) = 414

GCD(207, 138) = ( 207 x 138 ) / 414

GCD(207, 138) = 28566 / 414

GCD(207, 138) = 69

Step2:

Here we consider the GCD from the above i.e. 69 as first number and the next as 780

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

LCM(69, 780) = 17940

GCD(69, 780) = ( 69 x 780 ) / 17940

GCD(69, 780) = 53820 / 17940

GCD(69, 780) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 817

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

LCM(3, 817) = 2451

GCD(3, 817) = ( 3 x 817 ) / 2451

GCD(3, 817) = 2451 / 2451

GCD(3, 817) = 1

GCD of 207, 138, 780, 817 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 737, 407, 582
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• GCD of 713, 144, 325, 731

1. What is the GCD of 207, 138, 780, 817?

GCD of 207, 138, 780, 817 is 1

2. Where do I get the detailed procedure to find GCD of 207, 138, 780, 817?

You can find a detailed procedure to find GCD of 207, 138, 780, 817 on our page.

3. How to find GCD of 207, 138, 780, 817 on a calculator?

You can find the GCD of 207, 138, 780, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.