GCD of 290, 538, 33, 919 Calculator

Given Input numbers are 290, 538, 33, 919

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 290, 538, 33, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 538, 33, 919 is 1.

Therefore, GCD of numbers 290, 538, 33, 919 is 1

Given Input Data is 290, 538, 33, 919

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 538 is 2 x 269

Prime Factorization of 33 is 3 x 11

Prime Factorization of 919 is 919

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(290, 538) = 78010

GCD(290, 538) = ( 290 x 538 ) / 78010

GCD(290, 538) = 156020 / 78010

GCD(290, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 290, 538, 33, 919 is 1

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1. What is the GCD of 290, 538, 33, 919?

GCD of 290, 538, 33, 919 is 1

2. Where do I get the detailed procedure to find GCD of 290, 538, 33, 919?

You can find a detailed procedure to find GCD of 290, 538, 33, 919 on our page.

3. How to find GCD of 290, 538, 33, 919 on a calculator?

You can find the GCD of 290, 538, 33, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.