GCD of 381, 550, 136, 742 Calculator

Given Input numbers are 381, 550, 136, 742

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

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 381, 550, 136, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 550, 136, 742 is 1.

Therefore, GCD of numbers 381, 550, 136, 742 is 1

Given Input Data is 381, 550, 136, 742

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(381, 550) = 209550

GCD(381, 550) = ( 381 x 550 ) / 209550

GCD(381, 550) = 209550 / 209550

GCD(381, 550) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 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 381, 550, 136, 742 is 1

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1. What is the GCD of 381, 550, 136, 742?

GCD of 381, 550, 136, 742 is 1

2. Where do I get the detailed procedure to find GCD of 381, 550, 136, 742?

You can find a detailed procedure to find GCD of 381, 550, 136, 742 on our page.

3. How to find GCD of 381, 550, 136, 742 on a calculator?

You can find the GCD of 381, 550, 136, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.