GCD of 38, 500, 857, 158 Calculator

Given Input numbers are 38, 500, 857, 158

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 158

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

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 38, 500, 857, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 500, 857, 158 is 1.

Therefore, GCD of numbers 38, 500, 857, 158 is 1

Given Input Data is 38, 500, 857, 158

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 857 is 857

Prime Factorization of 158 is 2 x 79

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, 500) = 9500

GCD(38, 500) = ( 38 x 500 ) / 9500

GCD(38, 500) = 19000 / 9500

GCD(38, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 857

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

LCM(2, 857) = 1714

GCD(2, 857) = ( 2 x 857 ) / 1714

GCD(2, 857) = 1714 / 1714

GCD(2, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 38, 500, 857, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 327, 102, 164
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• GCD of 77, 439, 142, 837
• GCD of 56, 352, 661, 451
• GCD of 26, 171, 244, 128

1. What is the GCD of 38, 500, 857, 158?

GCD of 38, 500, 857, 158 is 1

2. Where do I get the detailed procedure to find GCD of 38, 500, 857, 158?

You can find a detailed procedure to find GCD of 38, 500, 857, 158 on our page.

3. How to find GCD of 38, 500, 857, 158 on a calculator?

You can find the GCD of 38, 500, 857, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.