GCD of 682, 341, 15, 238 Calculator

Given Input numbers are 682, 341, 15, 238

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 682, 341, 15, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 341, 15, 238 is 1.

Therefore, GCD of numbers 682, 341, 15, 238 is 1

Given Input Data is 682, 341, 15, 238

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 341 is 11 x 31

Prime Factorization of 15 is 3 x 5

Prime Factorization of 238 is 2 x 7 x 17

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(682, 341) = 682

GCD(682, 341) = ( 682 x 341 ) / 682

GCD(682, 341) = 232562 / 682

GCD(682, 341) = 341

Step2:

Here we consider the GCD from the above i.e. 341 as first number and the next as 15

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

LCM(341, 15) = 5115

GCD(341, 15) = ( 341 x 15 ) / 5115

GCD(341, 15) = 5115 / 5115

GCD(341, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 682, 341, 15, 238 is 1

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1. What is the GCD of 682, 341, 15, 238?

GCD of 682, 341, 15, 238 is 1

2. Where do I get the detailed procedure to find GCD of 682, 341, 15, 238?

You can find a detailed procedure to find GCD of 682, 341, 15, 238 on our page.

3. How to find GCD of 682, 341, 15, 238 on a calculator?

You can find the GCD of 682, 341, 15, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.