GCD of 688, 177, 673, 728 Calculator

Given Input numbers are 688, 177, 673, 728

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

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 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 688, 177, 673, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 177, 673, 728 is 1.

Therefore, GCD of numbers 688, 177, 673, 728 is 1

Given Input Data is 688, 177, 673, 728

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

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 673 is 673

Prime Factorization of 728 is 2 x 2 x 2 x 7 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(688, 177) = 121776

GCD(688, 177) = ( 688 x 177 ) / 121776

GCD(688, 177) = 121776 / 121776

GCD(688, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 673

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

LCM(1, 673) = 673

GCD(1, 673) = ( 1 x 673 ) / 673

GCD(1, 673) = 673 / 673

GCD(1, 673) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 688, 177, 673, 728 is 1

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1. What is the GCD of 688, 177, 673, 728?

GCD of 688, 177, 673, 728 is 1

2. Where do I get the detailed procedure to find GCD of 688, 177, 673, 728?

You can find a detailed procedure to find GCD of 688, 177, 673, 728 on our page.

3. How to find GCD of 688, 177, 673, 728 on a calculator?

You can find the GCD of 688, 177, 673, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.