GCD of 867, 610, 299, 133 Calculator

Given Input numbers are 867, 610, 299, 133

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 867, 610, 299, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 610, 299, 133 is 1.

Therefore, GCD of numbers 867, 610, 299, 133 is 1

Given Input Data is 867, 610, 299, 133

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 299 is 13 x 23

Prime Factorization of 133 is 7 x 19

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(867, 610) = 528870

GCD(867, 610) = ( 867 x 610 ) / 528870

GCD(867, 610) = 528870 / 528870

GCD(867, 610) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 867, 610, 299, 133 is 1

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1. What is the GCD of 867, 610, 299, 133?

GCD of 867, 610, 299, 133 is 1

2. Where do I get the detailed procedure to find GCD of 867, 610, 299, 133?

You can find a detailed procedure to find GCD of 867, 610, 299, 133 on our page.

3. How to find GCD of 867, 610, 299, 133 on a calculator?

You can find the GCD of 867, 610, 299, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.