GCD of 289, 605, 37, 949 Calculator

Given Input numbers are 289, 605, 37, 949

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 289, 605, 37, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 605, 37, 949 is 1.

Therefore, GCD of numbers 289, 605, 37, 949 is 1

Given Input Data is 289, 605, 37, 949

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 37 is 37

Prime Factorization of 949 is 13 x 73

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(289, 605) = 174845

GCD(289, 605) = ( 289 x 605 ) / 174845

GCD(289, 605) = 174845 / 174845

GCD(289, 605) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 289, 605, 37, 949 is 1

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• GCD of 949, 398, 78, 389
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1. What is the GCD of 289, 605, 37, 949?

GCD of 289, 605, 37, 949 is 1

2. Where do I get the detailed procedure to find GCD of 289, 605, 37, 949?

You can find a detailed procedure to find GCD of 289, 605, 37, 949 on our page.

3. How to find GCD of 289, 605, 37, 949 on a calculator?

You can find the GCD of 289, 605, 37, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.