GCD of 254, 155, 38, 742 Calculator

Given Input numbers are 254, 155, 38, 742

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 38

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

1, 2, 19, 38

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 254, 155, 38, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 155, 38, 742 is 1.

Therefore, GCD of numbers 254, 155, 38, 742 is 1

Given Input Data is 254, 155, 38, 742

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 155 is 5 x 31

Prime Factorization of 38 is 2 x 19

Prime Factorization of 742 is 2 x 7 x 53

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(254, 155) = 39370

GCD(254, 155) = ( 254 x 155 ) / 39370

GCD(254, 155) = 39370 / 39370

GCD(254, 155) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 254, 155, 38, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 546, 25, 159
• GCD of 691, 477, 42, 943
• GCD of 357, 970, 19, 549
• GCD of 477, 462, 64, 445
• GCD of 199, 121, 63, 602

1. What is the GCD of 254, 155, 38, 742?

GCD of 254, 155, 38, 742 is 1

2. Where do I get the detailed procedure to find GCD of 254, 155, 38, 742?

You can find a detailed procedure to find GCD of 254, 155, 38, 742 on our page.

3. How to find GCD of 254, 155, 38, 742 on a calculator?

You can find the GCD of 254, 155, 38, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.