GCD of 254, 585, 742, 369 Calculator

Given Input numbers are 254, 585, 742, 369

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 742

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

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 254, 585, 742, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 585, 742, 369 is 1.

Therefore, GCD of numbers 254, 585, 742, 369 is 1

Given Input Data is 254, 585, 742, 369

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 369 is 3 x 3 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(254, 585) = 148590

GCD(254, 585) = ( 254 x 585 ) / 148590

GCD(254, 585) = 148590 / 148590

GCD(254, 585) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 254, 585, 742, 369 is 1

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1. What is the GCD of 254, 585, 742, 369?

GCD of 254, 585, 742, 369 is 1

2. Where do I get the detailed procedure to find GCD of 254, 585, 742, 369?

You can find a detailed procedure to find GCD of 254, 585, 742, 369 on our page.

3. How to find GCD of 254, 585, 742, 369 on a calculator?

You can find the GCD of 254, 585, 742, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.