GCD of 201, 529, 644, 374 Calculator

Given Input numbers are 201, 529, 644, 374

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 201, 529, 644, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 529, 644, 374 is 1.

Therefore, GCD of numbers 201, 529, 644, 374 is 1

Given Input Data is 201, 529, 644, 374

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 529 is 23 x 23

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 374 is 2 x 11 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(201, 529) = 106329

GCD(201, 529) = ( 201 x 529 ) / 106329

GCD(201, 529) = 106329 / 106329

GCD(201, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 201, 529, 644, 374 is 1

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1. What is the GCD of 201, 529, 644, 374?

GCD of 201, 529, 644, 374 is 1

2. Where do I get the detailed procedure to find GCD of 201, 529, 644, 374?

You can find a detailed procedure to find GCD of 201, 529, 644, 374 on our page.

3. How to find GCD of 201, 529, 644, 374 on a calculator?

You can find the GCD of 201, 529, 644, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.