GCD of 290, 420, 418, 295 Calculator

Given Input numbers are 290, 420, 418, 295

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 295

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

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 290, 420, 418, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 420, 418, 295 is 1.

Therefore, GCD of numbers 290, 420, 418, 295 is 1

Given Input Data is 290, 420, 418, 295

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 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 295 is 5 x 59

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, 420) = 12180

GCD(290, 420) = ( 290 x 420 ) / 12180

GCD(290, 420) = 121800 / 12180

GCD(290, 420) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 418

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

LCM(10, 418) = 2090

GCD(10, 418) = ( 10 x 418 ) / 2090

GCD(10, 418) = 4180 / 2090

GCD(10, 418) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 295

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

LCM(2, 295) = 590

GCD(2, 295) = ( 2 x 295 ) / 590

GCD(2, 295) = 590 / 590

GCD(2, 295) = 1

GCD of 290, 420, 418, 295 is 1

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1. What is the GCD of 290, 420, 418, 295?

GCD of 290, 420, 418, 295 is 1

2. Where do I get the detailed procedure to find GCD of 290, 420, 418, 295?

You can find a detailed procedure to find GCD of 290, 420, 418, 295 on our page.

3. How to find GCD of 290, 420, 418, 295 on a calculator?

You can find the GCD of 290, 420, 418, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.