GCD of 338, 351, 167, 103 Calculator

Given Input numbers are 338, 351, 167, 103

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 338, 351, 167, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 351, 167, 103 is 1.

Therefore, GCD of numbers 338, 351, 167, 103 is 1

Given Input Data is 338, 351, 167, 103

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 167 is 167

Prime Factorization of 103 is 103

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(338, 351) = 9126

GCD(338, 351) = ( 338 x 351 ) / 9126

GCD(338, 351) = 118638 / 9126

GCD(338, 351) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 167

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

LCM(13, 167) = 2171

GCD(13, 167) = ( 13 x 167 ) / 2171

GCD(13, 167) = 2171 / 2171

GCD(13, 167) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 338, 351, 167, 103 is 1

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1. What is the GCD of 338, 351, 167, 103?

GCD of 338, 351, 167, 103 is 1

2. Where do I get the detailed procedure to find GCD of 338, 351, 167, 103?

You can find a detailed procedure to find GCD of 338, 351, 167, 103 on our page.

3. How to find GCD of 338, 351, 167, 103 on a calculator?

You can find the GCD of 338, 351, 167, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.