GCD of 521, 172, 401, 200 Calculator

Given Input numbers are 521, 172, 401, 200

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

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

Greatest Common Divisior

We found the divisors of 521, 172, 401, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 172, 401, 200 is 1.

Therefore, GCD of numbers 521, 172, 401, 200 is 1

Given Input Data is 521, 172, 401, 200

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

Prime Factorization of 521 is 521

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 401 is 401

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

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(521, 172) = 89612

GCD(521, 172) = ( 521 x 172 ) / 89612

GCD(521, 172) = 89612 / 89612

GCD(521, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 521, 172, 401, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 195, 771, 824
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• GCD of 294, 328, 998, 597
• GCD of 403, 112, 256, 487

1. What is the GCD of 521, 172, 401, 200?

GCD of 521, 172, 401, 200 is 1

2. Where do I get the detailed procedure to find GCD of 521, 172, 401, 200?

You can find a detailed procedure to find GCD of 521, 172, 401, 200 on our page.

3. How to find GCD of 521, 172, 401, 200 on a calculator?

You can find the GCD of 521, 172, 401, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.