GCD of 414, 200, 460, 637 Calculator

Given Input numbers are 414, 200, 460, 637

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 414, 200, 460, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 200, 460, 637 is 1.

Therefore, GCD of numbers 414, 200, 460, 637 is 1

Given Input Data is 414, 200, 460, 637

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 637 is 7 x 7 x 13

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(414, 200) = 41400

GCD(414, 200) = ( 414 x 200 ) / 41400

GCD(414, 200) = 82800 / 41400

GCD(414, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

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

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

GCD of 414, 200, 460, 637 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 418, 342, 918
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• GCD of 874, 145, 817, 387

1. What is the GCD of 414, 200, 460, 637?

GCD of 414, 200, 460, 637 is 1

2. Where do I get the detailed procedure to find GCD of 414, 200, 460, 637?

You can find a detailed procedure to find GCD of 414, 200, 460, 637 on our page.

3. How to find GCD of 414, 200, 460, 637 on a calculator?

You can find the GCD of 414, 200, 460, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.