GCD of 305, 155, 461, 891 Calculator

Given Input numbers are 305, 155, 461, 891

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 305, 155, 461, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 155, 461, 891 is 1.

Therefore, GCD of numbers 305, 155, 461, 891 is 1

Given Input Data is 305, 155, 461, 891

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 155 is 5 x 31

Prime Factorization of 461 is 461

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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(305, 155) = 9455

GCD(305, 155) = ( 305 x 155 ) / 9455

GCD(305, 155) = 47275 / 9455

GCD(305, 155) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 461

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

LCM(5, 461) = 2305

GCD(5, 461) = ( 5 x 461 ) / 2305

GCD(5, 461) = 2305 / 2305

GCD(5, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 305, 155, 461, 891 is 1

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1. What is the GCD of 305, 155, 461, 891?

GCD of 305, 155, 461, 891 is 1

2. Where do I get the detailed procedure to find GCD of 305, 155, 461, 891?

You can find a detailed procedure to find GCD of 305, 155, 461, 891 on our page.

3. How to find GCD of 305, 155, 461, 891 on a calculator?

You can find the GCD of 305, 155, 461, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.