GCD of 305, 295, 949, 359 Calculator

Given Input numbers are 305, 295, 949, 359

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 295

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

1, 5, 59, 295

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 305, 295, 949, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 295, 949, 359 is 1.

Therefore, GCD of numbers 305, 295, 949, 359 is 1

Given Input Data is 305, 295, 949, 359

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 295 is 5 x 59

Prime Factorization of 949 is 13 x 73

Prime Factorization of 359 is 359

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, 295) = 17995

GCD(305, 295) = ( 305 x 295 ) / 17995

GCD(305, 295) = 89975 / 17995

GCD(305, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 949

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

LCM(5, 949) = 4745

GCD(5, 949) = ( 5 x 949 ) / 4745

GCD(5, 949) = 4745 / 4745

GCD(5, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 305, 295, 949, 359 is 1

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1. What is the GCD of 305, 295, 949, 359?

GCD of 305, 295, 949, 359 is 1

2. Where do I get the detailed procedure to find GCD of 305, 295, 949, 359?

You can find a detailed procedure to find GCD of 305, 295, 949, 359 on our page.

3. How to find GCD of 305, 295, 949, 359 on a calculator?

You can find the GCD of 305, 295, 949, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.