GCD of 506, 641, 172, 635 Calculator

Given Input numbers are 506, 641, 172, 635

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 506, 641, 172, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 641, 172, 635 is 1.

Therefore, GCD of numbers 506, 641, 172, 635 is 1

Given Input Data is 506, 641, 172, 635

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 641 is 641

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 635 is 5 x 127

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(506, 641) = 324346

GCD(506, 641) = ( 506 x 641 ) / 324346

GCD(506, 641) = 324346 / 324346

GCD(506, 641) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 506, 641, 172, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 281, 974, 458
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• GCD of 941, 408, 237, 435
• GCD of 177, 834, 741, 654

1. What is the GCD of 506, 641, 172, 635?

GCD of 506, 641, 172, 635 is 1

2. Where do I get the detailed procedure to find GCD of 506, 641, 172, 635?

You can find a detailed procedure to find GCD of 506, 641, 172, 635 on our page.

3. How to find GCD of 506, 641, 172, 635 on a calculator?

You can find the GCD of 506, 641, 172, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.