GCD of 290, 354, 119, 290 Calculator

Given Input numbers are 290, 354, 119, 290

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 290

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

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

Greatest Common Divisior

We found the divisors of 290, 354, 119, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 354, 119, 290 is 1.

Therefore, GCD of numbers 290, 354, 119, 290 is 1

Given Input Data is 290, 354, 119, 290

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 354 is 2 x 3 x 59

Prime Factorization of 119 is 7 x 17

Prime Factorization of 290 is 2 x 5 x 29

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, 354) = 51330

GCD(290, 354) = ( 290 x 354 ) / 51330

GCD(290, 354) = 102660 / 51330

GCD(290, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 290, 354, 119, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 922, 172, 625
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• GCD of 512, 144, 648, 109

1. What is the GCD of 290, 354, 119, 290?

GCD of 290, 354, 119, 290 is 1

2. Where do I get the detailed procedure to find GCD of 290, 354, 119, 290?

You can find a detailed procedure to find GCD of 290, 354, 119, 290 on our page.

3. How to find GCD of 290, 354, 119, 290 on a calculator?

You can find the GCD of 290, 354, 119, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.