GCD of 200, 735, 904, 659 Calculator

Given Input numbers are 200, 735, 904, 659

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

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 200, 735, 904, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 735, 904, 659 is 1.

Therefore, GCD of numbers 200, 735, 904, 659 is 1

Given Input Data is 200, 735, 904, 659

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

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 659 is 659

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(200, 735) = 29400

GCD(200, 735) = ( 200 x 735 ) / 29400

GCD(200, 735) = 147000 / 29400

GCD(200, 735) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 904

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

LCM(5, 904) = 4520

GCD(5, 904) = ( 5 x 904 ) / 4520

GCD(5, 904) = 4520 / 4520

GCD(5, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 200, 735, 904, 659 is 1

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• GCD of 135, 235, 677, 823

1. What is the GCD of 200, 735, 904, 659?

GCD of 200, 735, 904, 659 is 1

2. Where do I get the detailed procedure to find GCD of 200, 735, 904, 659?

You can find a detailed procedure to find GCD of 200, 735, 904, 659 on our page.

3. How to find GCD of 200, 735, 904, 659 on a calculator?

You can find the GCD of 200, 735, 904, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.