GCD of 723, 812, 57, 147 Calculator

Given Input numbers are 723, 812, 57, 147

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

Divisors of 723

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

1, 3, 241, 723

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 723, 812, 57, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 812, 57, 147 is 1.

Therefore, GCD of numbers 723, 812, 57, 147 is 1

Given Input Data is 723, 812, 57, 147

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 57 is 3 x 19

Prime Factorization of 147 is 3 x 7 x 7

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(723, 812) = 587076

GCD(723, 812) = ( 723 x 812 ) / 587076

GCD(723, 812) = 587076 / 587076

GCD(723, 812) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 723, 812, 57, 147 is 1

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1. What is the GCD of 723, 812, 57, 147?

GCD of 723, 812, 57, 147 is 1

2. Where do I get the detailed procedure to find GCD of 723, 812, 57, 147?

You can find a detailed procedure to find GCD of 723, 812, 57, 147 on our page.

3. How to find GCD of 723, 812, 57, 147 on a calculator?

You can find the GCD of 723, 812, 57, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.