GCD of 163, 178, 105, 295 Calculator

Given Input numbers are 163, 178, 105, 295

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

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 295

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

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 163, 178, 105, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 163, 178, 105, 295 is 1.

Therefore, GCD of numbers 163, 178, 105, 295 is 1

Given Input Data is 163, 178, 105, 295

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

Prime Factorization of 163 is 163

Prime Factorization of 178 is 2 x 89

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 295 is 5 x 59

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(163, 178) = 29014

GCD(163, 178) = ( 163 x 178 ) / 29014

GCD(163, 178) = 29014 / 29014

GCD(163, 178) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 163, 178, 105, 295 is 1

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1. What is the GCD of 163, 178, 105, 295?

GCD of 163, 178, 105, 295 is 1

2. Where do I get the detailed procedure to find GCD of 163, 178, 105, 295?

You can find a detailed procedure to find GCD of 163, 178, 105, 295 on our page.

3. How to find GCD of 163, 178, 105, 295 on a calculator?

You can find the GCD of 163, 178, 105, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.