GCD of 162, 872, 25, 946 Calculator

Given Input numbers are 162, 872, 25, 946

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 162, 872, 25, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 872, 25, 946 is 1.

Therefore, GCD of numbers 162, 872, 25, 946 is 1

Given Input Data is 162, 872, 25, 946

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 946 is 2 x 11 x 43

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(162, 872) = 70632

GCD(162, 872) = ( 162 x 872 ) / 70632

GCD(162, 872) = 141264 / 70632

GCD(162, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 162, 872, 25, 946 is 1

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• GCD of 269, 240, 59, 916
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• GCD of 922, 514, 18, 935

1. What is the GCD of 162, 872, 25, 946?

GCD of 162, 872, 25, 946 is 1

2. Where do I get the detailed procedure to find GCD of 162, 872, 25, 946?

You can find a detailed procedure to find GCD of 162, 872, 25, 946 on our page.

3. How to find GCD of 162, 872, 25, 946 on a calculator?

You can find the GCD of 162, 872, 25, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.