GCD of 295, 825, 157, 181 Calculator

Given Input numbers are 295, 825, 157, 181

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 295, 825, 157, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 825, 157, 181 is 1.

Therefore, GCD of numbers 295, 825, 157, 181 is 1

Given Input Data is 295, 825, 157, 181

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 157 is 157

Prime Factorization of 181 is 181

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, 825) = 48675

GCD(295, 825) = ( 295 x 825 ) / 48675

GCD(295, 825) = 243375 / 48675

GCD(295, 825) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 157

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

LCM(5, 157) = 785

GCD(5, 157) = ( 5 x 157 ) / 785

GCD(5, 157) = 785 / 785

GCD(5, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

GCD of 295, 825, 157, 181 is 1

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1. What is the GCD of 295, 825, 157, 181?

GCD of 295, 825, 157, 181 is 1

2. Where do I get the detailed procedure to find GCD of 295, 825, 157, 181?

You can find a detailed procedure to find GCD of 295, 825, 157, 181 on our page.

3. How to find GCD of 295, 825, 157, 181 on a calculator?

You can find the GCD of 295, 825, 157, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.