GCD of 38, 826, 503, 154 Calculator

Given Input numbers are 38, 826, 503, 154

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 38, 826, 503, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 826, 503, 154 is 1.

Therefore, GCD of numbers 38, 826, 503, 154 is 1

Given Input Data is 38, 826, 503, 154

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 503 is 503

Prime Factorization of 154 is 2 x 7 x 11

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, 826) = 15694

GCD(38, 826) = ( 38 x 826 ) / 15694

GCD(38, 826) = 31388 / 15694

GCD(38, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 503

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

LCM(2, 503) = 1006

GCD(2, 503) = ( 2 x 503 ) / 1006

GCD(2, 503) = 1006 / 1006

GCD(2, 503) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 38, 826, 503, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 656, 189, 685
• GCD of 74, 885, 335, 479
• GCD of 66, 843, 499, 290
• GCD of 19, 391, 114, 281
• GCD of 43, 477, 166, 473

1. What is the GCD of 38, 826, 503, 154?

GCD of 38, 826, 503, 154 is 1

2. Where do I get the detailed procedure to find GCD of 38, 826, 503, 154?

You can find a detailed procedure to find GCD of 38, 826, 503, 154 on our page.

3. How to find GCD of 38, 826, 503, 154 on a calculator?

You can find the GCD of 38, 826, 503, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.