GCD of 802, 276, 459, 266 Calculator

Given Input numbers are 802, 276, 459, 266

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 802, 276, 459, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 276, 459, 266 is 1.

Therefore, GCD of numbers 802, 276, 459, 266 is 1

Given Input Data is 802, 276, 459, 266

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 266 is 2 x 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(802, 276) = 110676

GCD(802, 276) = ( 802 x 276 ) / 110676

GCD(802, 276) = 221352 / 110676

GCD(802, 276) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 802, 276, 459, 266 is 1

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1. What is the GCD of 802, 276, 459, 266?

GCD of 802, 276, 459, 266 is 1

2. Where do I get the detailed procedure to find GCD of 802, 276, 459, 266?

You can find a detailed procedure to find GCD of 802, 276, 459, 266 on our page.

3. How to find GCD of 802, 276, 459, 266 on a calculator?

You can find the GCD of 802, 276, 459, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.