GCD of 305, 846, 49, 155 Calculator

Given Input numbers are 305, 846, 49, 155

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 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 155

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

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 305, 846, 49, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 846, 49, 155 is 1.

Therefore, GCD of numbers 305, 846, 49, 155 is 1

Given Input Data is 305, 846, 49, 155

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 49 is 7 x 7

Prime Factorization of 155 is 5 x 31

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, 846) = 258030

GCD(305, 846) = ( 305 x 846 ) / 258030

GCD(305, 846) = 258030 / 258030

GCD(305, 846) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

GCD of 305, 846, 49, 155 is 1

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1. What is the GCD of 305, 846, 49, 155?

GCD of 305, 846, 49, 155 is 1

2. Where do I get the detailed procedure to find GCD of 305, 846, 49, 155?

You can find a detailed procedure to find GCD of 305, 846, 49, 155 on our page.

3. How to find GCD of 305, 846, 49, 155 on a calculator?

You can find the GCD of 305, 846, 49, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.