GCD of 290, 268, 73, 363 Calculator

Given Input numbers are 290, 268, 73, 363

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 290, 268, 73, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 268, 73, 363 is 1.

Therefore, GCD of numbers 290, 268, 73, 363 is 1

Given Input Data is 290, 268, 73, 363

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 268 is 2 x 2 x 67

Prime Factorization of 73 is 73

Prime Factorization of 363 is 3 x 11 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(290, 268) = 38860

GCD(290, 268) = ( 290 x 268 ) / 38860

GCD(290, 268) = 77720 / 38860

GCD(290, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 290, 268, 73, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 761, 52, 400
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• GCD of 321, 225, 77, 707
• GCD of 169, 158, 53, 496

1. What is the GCD of 290, 268, 73, 363?

GCD of 290, 268, 73, 363 is 1

2. Where do I get the detailed procedure to find GCD of 290, 268, 73, 363?

You can find a detailed procedure to find GCD of 290, 268, 73, 363 on our page.

3. How to find GCD of 290, 268, 73, 363 on a calculator?

You can find the GCD of 290, 268, 73, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.