GCD of 15, 507, 841, 766 Calculator

Given Input numbers are 15, 507, 841, 766

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 15, 507, 841, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 507, 841, 766 is 1.

Therefore, GCD of numbers 15, 507, 841, 766 is 1

Given Input Data is 15, 507, 841, 766

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 841 is 29 x 29

Prime Factorization of 766 is 2 x 383

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(15, 507) = 2535

GCD(15, 507) = ( 15 x 507 ) / 2535

GCD(15, 507) = 7605 / 2535

GCD(15, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 841

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

LCM(3, 841) = 2523

GCD(3, 841) = ( 3 x 841 ) / 2523

GCD(3, 841) = 2523 / 2523

GCD(3, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 15, 507, 841, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 244, 774, 771
• GCD of 89, 381, 212, 715
• GCD of 49, 386, 777, 675
• GCD of 96, 614, 865, 570
• GCD of 92, 648, 394, 822

1. What is the GCD of 15, 507, 841, 766?

GCD of 15, 507, 841, 766 is 1

2. Where do I get the detailed procedure to find GCD of 15, 507, 841, 766?

You can find a detailed procedure to find GCD of 15, 507, 841, 766 on our page.

3. How to find GCD of 15, 507, 841, 766 on a calculator?

You can find the GCD of 15, 507, 841, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.