GCD of 723, 628, 633, 771 Calculator

Given Input numbers are 723, 628, 633, 771

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 723, 628, 633, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 628, 633, 771 is 1.

Therefore, GCD of numbers 723, 628, 633, 771 is 1

Given Input Data is 723, 628, 633, 771

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 633 is 3 x 211

Prime Factorization of 771 is 3 x 257

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, 628) = 454044

GCD(723, 628) = ( 723 x 628 ) / 454044

GCD(723, 628) = 454044 / 454044

GCD(723, 628) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 723, 628, 633, 771 is 1

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1. What is the GCD of 723, 628, 633, 771?

GCD of 723, 628, 633, 771 is 1

2. Where do I get the detailed procedure to find GCD of 723, 628, 633, 771?

You can find a detailed procedure to find GCD of 723, 628, 633, 771 on our page.

3. How to find GCD of 723, 628, 633, 771 on a calculator?

You can find the GCD of 723, 628, 633, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.