GCD of 906, 153, 465, 872 Calculator

Given Input numbers are 906, 153, 465, 872

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 872

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

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

Greatest Common Divisior

We found the divisors of 906, 153, 465, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 153, 465, 872 is 1.

Therefore, GCD of numbers 906, 153, 465, 872 is 1

Given Input Data is 906, 153, 465, 872

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 465 is 3 x 5 x 31

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

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(906, 153) = 46206

GCD(906, 153) = ( 906 x 153 ) / 46206

GCD(906, 153) = 138618 / 46206

GCD(906, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 465

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

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

GCD(3, 465) = 1395 / 465

GCD(3, 465) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 872

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

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

GCD(3, 872) = 2616 / 2616

GCD(3, 872) = 1

GCD of 906, 153, 465, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 321, 388, 376
• GCD of 493, 679, 280, 347
• GCD of 934, 101, 506, 911
• GCD of 528, 299, 292, 742
• GCD of 727, 341, 120, 260

1. What is the GCD of 906, 153, 465, 872?

GCD of 906, 153, 465, 872 is 1

2. Where do I get the detailed procedure to find GCD of 906, 153, 465, 872?

You can find a detailed procedure to find GCD of 906, 153, 465, 872 on our page.

3. How to find GCD of 906, 153, 465, 872 on a calculator?

You can find the GCD of 906, 153, 465, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.