GCD of 295, 959, 817, 189 Calculator

Given Input numbers are 295, 959, 817, 189

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 295, 959, 817, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 959, 817, 189 is 1.

Therefore, GCD of numbers 295, 959, 817, 189 is 1

Given Input Data is 295, 959, 817, 189

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 959 is 7 x 137

Prime Factorization of 817 is 19 x 43

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(295, 959) = 282905

GCD(295, 959) = ( 295 x 959 ) / 282905

GCD(295, 959) = 282905 / 282905

GCD(295, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 295, 959, 817, 189 is 1

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1. What is the GCD of 295, 959, 817, 189?

GCD of 295, 959, 817, 189 is 1

2. Where do I get the detailed procedure to find GCD of 295, 959, 817, 189?

You can find a detailed procedure to find GCD of 295, 959, 817, 189 on our page.

3. How to find GCD of 295, 959, 817, 189 on a calculator?

You can find the GCD of 295, 959, 817, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.