GCD of 636, 874, 50, 289 Calculator

Given Input numbers are 636, 874, 50, 289

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 289

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

1, 17, 289

Greatest Common Divisior

We found the divisors of 636, 874, 50, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 874, 50, 289 is 1.

Therefore, GCD of numbers 636, 874, 50, 289 is 1

Given Input Data is 636, 874, 50, 289

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 289 is 17 x 17

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(636, 874) = 277932

GCD(636, 874) = ( 636 x 874 ) / 277932

GCD(636, 874) = 555864 / 277932

GCD(636, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

GCD of 636, 874, 50, 289 is 1

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• GCD of 664, 702, 42, 637
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1. What is the GCD of 636, 874, 50, 289?

GCD of 636, 874, 50, 289 is 1

2. Where do I get the detailed procedure to find GCD of 636, 874, 50, 289?

You can find a detailed procedure to find GCD of 636, 874, 50, 289 on our page.

3. How to find GCD of 636, 874, 50, 289 on a calculator?

You can find the GCD of 636, 874, 50, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.