GCD of 286, 162, 25, 975 Calculator

Given Input numbers are 286, 162, 25, 975

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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 25

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

1, 5, 25

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 286, 162, 25, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 162, 25, 975 is 1.

Therefore, GCD of numbers 286, 162, 25, 975 is 1

Given Input Data is 286, 162, 25, 975

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

Prime Factorization of 286 is 2 x 11 x 13

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(286, 162) = 23166

GCD(286, 162) = ( 286 x 162 ) / 23166

GCD(286, 162) = 46332 / 23166

GCD(286, 162) = 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 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 286, 162, 25, 975 is 1

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1. What is the GCD of 286, 162, 25, 975?

GCD of 286, 162, 25, 975 is 1

2. Where do I get the detailed procedure to find GCD of 286, 162, 25, 975?

You can find a detailed procedure to find GCD of 286, 162, 25, 975 on our page.

3. How to find GCD of 286, 162, 25, 975 on a calculator?

You can find the GCD of 286, 162, 25, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.