GCD of 342, 234, 490, 917 Calculator

Given Input numbers are 342, 234, 490, 917

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 342, 234, 490, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 234, 490, 917 is 1.

Therefore, GCD of numbers 342, 234, 490, 917 is 1

Given Input Data is 342, 234, 490, 917

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 917 is 7 x 131

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(342, 234) = 4446

GCD(342, 234) = ( 342 x 234 ) / 4446

GCD(342, 234) = 80028 / 4446

GCD(342, 234) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 490

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

LCM(18, 490) = 4410

GCD(18, 490) = ( 18 x 490 ) / 4410

GCD(18, 490) = 8820 / 4410

GCD(18, 490) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

GCD of 342, 234, 490, 917 is 1

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1. What is the GCD of 342, 234, 490, 917?

GCD of 342, 234, 490, 917 is 1

2. Where do I get the detailed procedure to find GCD of 342, 234, 490, 917?

You can find a detailed procedure to find GCD of 342, 234, 490, 917 on our page.

3. How to find GCD of 342, 234, 490, 917 on a calculator?

You can find the GCD of 342, 234, 490, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.