GCD of 457, 552, 745, 234 Calculator

Given Input numbers are 457, 552, 745, 234

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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

Greatest Common Divisior

We found the divisors of 457, 552, 745, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 552, 745, 234 is 1.

Therefore, GCD of numbers 457, 552, 745, 234 is 1

Given Input Data is 457, 552, 745, 234

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

Prime Factorization of 457 is 457

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 745 is 5 x 149

Prime Factorization of 234 is 2 x 3 x 3 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(457, 552) = 252264

GCD(457, 552) = ( 457 x 552 ) / 252264

GCD(457, 552) = 252264 / 252264

GCD(457, 552) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 457, 552, 745, 234 is 1

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1. What is the GCD of 457, 552, 745, 234?

GCD of 457, 552, 745, 234 is 1

2. Where do I get the detailed procedure to find GCD of 457, 552, 745, 234?

You can find a detailed procedure to find GCD of 457, 552, 745, 234 on our page.

3. How to find GCD of 457, 552, 745, 234 on a calculator?

You can find the GCD of 457, 552, 745, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.