GCD of 38, 158, 681, 410 Calculator

Given Input numbers are 38, 158, 681, 410

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 38, 158, 681, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 158, 681, 410 is 1.

Therefore, GCD of numbers 38, 158, 681, 410 is 1

Given Input Data is 38, 158, 681, 410

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 158 is 2 x 79

Prime Factorization of 681 is 3 x 227

Prime Factorization of 410 is 2 x 5 x 41

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, 158) = 3002

GCD(38, 158) = ( 38 x 158 ) / 3002

GCD(38, 158) = 6004 / 3002

GCD(38, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 681

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

LCM(2, 681) = 1362

GCD(2, 681) = ( 2 x 681 ) / 1362

GCD(2, 681) = 1362 / 1362

GCD(2, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 38, 158, 681, 410 is 1

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1. What is the GCD of 38, 158, 681, 410?

GCD of 38, 158, 681, 410 is 1

2. Where do I get the detailed procedure to find GCD of 38, 158, 681, 410?

You can find a detailed procedure to find GCD of 38, 158, 681, 410 on our page.

3. How to find GCD of 38, 158, 681, 410 on a calculator?

You can find the GCD of 38, 158, 681, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.