GCD of 872, 125, 643, 406 Calculator

Given Input numbers are 872, 125, 643, 406

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 872, 125, 643, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 125, 643, 406 is 1.

Therefore, GCD of numbers 872, 125, 643, 406 is 1

Given Input Data is 872, 125, 643, 406

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 643 is 643

Prime Factorization of 406 is 2 x 7 x 29

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(872, 125) = 109000

GCD(872, 125) = ( 872 x 125 ) / 109000

GCD(872, 125) = 109000 / 109000

GCD(872, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 872, 125, 643, 406 is 1

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1. What is the GCD of 872, 125, 643, 406?

GCD of 872, 125, 643, 406 is 1

2. Where do I get the detailed procedure to find GCD of 872, 125, 643, 406?

You can find a detailed procedure to find GCD of 872, 125, 643, 406 on our page.

3. How to find GCD of 872, 125, 643, 406 on a calculator?

You can find the GCD of 872, 125, 643, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.