GCD of 38, 345, 157, 614 Calculator

Given Input numbers are 38, 345, 157, 614

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 38, 345, 157, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 345, 157, 614 is 1.

Therefore, GCD of numbers 38, 345, 157, 614 is 1

Given Input Data is 38, 345, 157, 614

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 157 is 157

Prime Factorization of 614 is 2 x 307

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(38, 345) = 13110

GCD(38, 345) = ( 38 x 345 ) / 13110

GCD(38, 345) = 13110 / 13110

GCD(38, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 38, 345, 157, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 173, 148, 217
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• GCD of 67, 602, 949, 662

1. What is the GCD of 38, 345, 157, 614?

GCD of 38, 345, 157, 614 is 1

2. Where do I get the detailed procedure to find GCD of 38, 345, 157, 614?

You can find a detailed procedure to find GCD of 38, 345, 157, 614 on our page.

3. How to find GCD of 38, 345, 157, 614 on a calculator?

You can find the GCD of 38, 345, 157, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.