GCD of 261, 767, 16, 502 Calculator

Given Input numbers are 261, 767, 16, 502

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 261, 767, 16, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 767, 16, 502 is 1.

Therefore, GCD of numbers 261, 767, 16, 502 is 1

Given Input Data is 261, 767, 16, 502

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 767 is 13 x 59

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 502 is 2 x 251

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(261, 767) = 200187

GCD(261, 767) = ( 261 x 767 ) / 200187

GCD(261, 767) = 200187 / 200187

GCD(261, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 261, 767, 16, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 779, 77, 784
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• GCD of 686, 553, 69, 501
• GCD of 479, 356, 92, 769

1. What is the GCD of 261, 767, 16, 502?

GCD of 261, 767, 16, 502 is 1

2. Where do I get the detailed procedure to find GCD of 261, 767, 16, 502?

You can find a detailed procedure to find GCD of 261, 767, 16, 502 on our page.

3. How to find GCD of 261, 767, 16, 502 on a calculator?

You can find the GCD of 261, 767, 16, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.