GCD of 967, 816, 494, 269 Calculator

Given Input numbers are 967, 816, 494, 269

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 967, 816, 494, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 816, 494, 269 is 1.

Therefore, GCD of numbers 967, 816, 494, 269 is 1

Given Input Data is 967, 816, 494, 269

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

Prime Factorization of 967 is 967

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 269 is 269

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(967, 816) = 789072

GCD(967, 816) = ( 967 x 816 ) / 789072

GCD(967, 816) = 789072 / 789072

GCD(967, 816) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 967, 816, 494, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 208, 882, 500
• GCD of 511, 657, 185, 907
• GCD of 923, 564, 397, 693
• GCD of 960, 428, 458, 505
• GCD of 838, 917, 922, 536

1. What is the GCD of 967, 816, 494, 269?

GCD of 967, 816, 494, 269 is 1

2. Where do I get the detailed procedure to find GCD of 967, 816, 494, 269?

You can find a detailed procedure to find GCD of 967, 816, 494, 269 on our page.

3. How to find GCD of 967, 816, 494, 269 on a calculator?

You can find the GCD of 967, 816, 494, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.