GCD of 524, 868, 200, 889 Calculator

Given Input numbers are 524, 868, 200, 889

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 524, 868, 200, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 868, 200, 889 is 1.

Therefore, GCD of numbers 524, 868, 200, 889 is 1

Given Input Data is 524, 868, 200, 889

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 889 is 7 x 127

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(524, 868) = 113708

GCD(524, 868) = ( 524 x 868 ) / 113708

GCD(524, 868) = 454832 / 113708

GCD(524, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 200

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

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

GCD(4, 200) = 800 / 200

GCD(4, 200) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 889

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

LCM(4, 889) = 3556

GCD(4, 889) = ( 4 x 889 ) / 3556

GCD(4, 889) = 3556 / 3556

GCD(4, 889) = 1

GCD of 524, 868, 200, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 165, 971, 405
• GCD of 453, 669, 461, 588
• GCD of 649, 574, 200, 612
• GCD of 508, 446, 167, 580
• GCD of 658, 266, 285, 201

1. What is the GCD of 524, 868, 200, 889?

GCD of 524, 868, 200, 889 is 1

2. Where do I get the detailed procedure to find GCD of 524, 868, 200, 889?

You can find a detailed procedure to find GCD of 524, 868, 200, 889 on our page.

3. How to find GCD of 524, 868, 200, 889 on a calculator?

You can find the GCD of 524, 868, 200, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.