GCD of 723, 371, 688, 470 Calculator

Given Input numbers are 723, 371, 688, 470

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 723, 371, 688, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 371, 688, 470 is 1.

Therefore, GCD of numbers 723, 371, 688, 470 is 1

Given Input Data is 723, 371, 688, 470

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 371 is 7 x 53

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 470 is 2 x 5 x 47

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, 371) = 268233

GCD(723, 371) = ( 723 x 371 ) / 268233

GCD(723, 371) = 268233 / 268233

GCD(723, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 723, 371, 688, 470 is 1

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1. What is the GCD of 723, 371, 688, 470?

GCD of 723, 371, 688, 470 is 1

2. Where do I get the detailed procedure to find GCD of 723, 371, 688, 470?

You can find a detailed procedure to find GCD of 723, 371, 688, 470 on our page.

3. How to find GCD of 723, 371, 688, 470 on a calculator?

You can find the GCD of 723, 371, 688, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.