GCD of 289, 252, 84, 802 Calculator

Given Input numbers are 289, 252, 84, 802

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 802

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

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 289, 252, 84, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 252, 84, 802 is 1.

Therefore, GCD of numbers 289, 252, 84, 802 is 1

Given Input Data is 289, 252, 84, 802

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 802 is 2 x 401

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(289, 252) = 72828

GCD(289, 252) = ( 289 x 252 ) / 72828

GCD(289, 252) = 72828 / 72828

GCD(289, 252) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 289, 252, 84, 802 is 1

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• GCD of 859, 900, 33, 482
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1. What is the GCD of 289, 252, 84, 802?

GCD of 289, 252, 84, 802 is 1

2. Where do I get the detailed procedure to find GCD of 289, 252, 84, 802?

You can find a detailed procedure to find GCD of 289, 252, 84, 802 on our page.

3. How to find GCD of 289, 252, 84, 802 on a calculator?

You can find the GCD of 289, 252, 84, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.