GCD of 742, 234, 455 Calculator

Given Input numbers are 742, 234, 455

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

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 742, 234, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 234, 455 is 1.

Therefore, GCD of numbers 742, 234, 455 is 1

Given Input Data is 742, 234, 455

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 455 is 5 x 7 x 13

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(742, 234) = 86814

GCD(742, 234) = ( 742 x 234 ) / 86814

GCD(742, 234) = 173628 / 86814

GCD(742, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 455

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

LCM(2, 455) = 910

GCD(2, 455) = ( 2 x 455 ) / 910

GCD(2, 455) = 910 / 910

GCD(2, 455) = 1

GCD of 742, 234, 455 is 1

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1. What is the GCD of 742, 234, 455?

GCD of 742, 234, 455 is 1

2. Where do I get the detailed procedure to find GCD of 742, 234, 455?

You can find a detailed procedure to find GCD of 742, 234, 455 on our page.

3. How to find GCD of 742, 234, 455 on a calculator?

You can find the GCD of 742, 234, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.