GCD of 745, 723, 247, 462 Calculator

Given Input numbers are 745, 723, 247, 462

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

Divisors of 745

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

1, 5, 149, 745

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 745, 723, 247, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 723, 247, 462 is 1.

Therefore, GCD of numbers 745, 723, 247, 462 is 1

Given Input Data is 745, 723, 247, 462

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 723 is 3 x 241

Prime Factorization of 247 is 13 x 19

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(745, 723) = 538635

GCD(745, 723) = ( 745 x 723 ) / 538635

GCD(745, 723) = 538635 / 538635

GCD(745, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 745, 723, 247, 462 is 1

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1. What is the GCD of 745, 723, 247, 462?

GCD of 745, 723, 247, 462 is 1

2. Where do I get the detailed procedure to find GCD of 745, 723, 247, 462?

You can find a detailed procedure to find GCD of 745, 723, 247, 462 on our page.

3. How to find GCD of 745, 723, 247, 462 on a calculator?

You can find the GCD of 745, 723, 247, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.