GCD of 872, 207, 51, 101 Calculator

Given Input numbers are 872, 207, 51, 101

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 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 872, 207, 51, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 207, 51, 101 is 1.

Therefore, GCD of numbers 872, 207, 51, 101 is 1

Given Input Data is 872, 207, 51, 101

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 207 is 3 x 3 x 23

Prime Factorization of 51 is 3 x 17

Prime Factorization of 101 is 101

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, 207) = 180504

GCD(872, 207) = ( 872 x 207 ) / 180504

GCD(872, 207) = 180504 / 180504

GCD(872, 207) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 872, 207, 51, 101 is 1

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1. What is the GCD of 872, 207, 51, 101?

GCD of 872, 207, 51, 101 is 1

2. Where do I get the detailed procedure to find GCD of 872, 207, 51, 101?

You can find a detailed procedure to find GCD of 872, 207, 51, 101 on our page.

3. How to find GCD of 872, 207, 51, 101 on a calculator?

You can find the GCD of 872, 207, 51, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.