GCD of 200, 427, 959, 408 Calculator

Given Input numbers are 200, 427, 959, 408

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 200, 427, 959, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 427, 959, 408 is 1.

Therefore, GCD of numbers 200, 427, 959, 408 is 1

Given Input Data is 200, 427, 959, 408

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 427 is 7 x 61

Prime Factorization of 959 is 7 x 137

Prime Factorization of 408 is 2 x 2 x 2 x 3 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(200, 427) = 85400

GCD(200, 427) = ( 200 x 427 ) / 85400

GCD(200, 427) = 85400 / 85400

GCD(200, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 200, 427, 959, 408 is 1

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• GCD of 802, 671, 979, 713
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1. What is the GCD of 200, 427, 959, 408?

GCD of 200, 427, 959, 408 is 1

2. Where do I get the detailed procedure to find GCD of 200, 427, 959, 408?

You can find a detailed procedure to find GCD of 200, 427, 959, 408 on our page.

3. How to find GCD of 200, 427, 959, 408 on a calculator?

You can find the GCD of 200, 427, 959, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.