GCD of 177, 728, 709, 693 Calculator

Given Input numbers are 177, 728, 709, 693

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

Divisors of 177

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

1, 3, 59, 177

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 177, 728, 709, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 728, 709, 693 is 1.

Therefore, GCD of numbers 177, 728, 709, 693 is 1

Given Input Data is 177, 728, 709, 693

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 709 is 709

Prime Factorization of 693 is 3 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(177, 728) = 128856

GCD(177, 728) = ( 177 x 728 ) / 128856

GCD(177, 728) = 128856 / 128856

GCD(177, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 177, 728, 709, 693 is 1

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1. What is the GCD of 177, 728, 709, 693?

GCD of 177, 728, 709, 693 is 1

2. Where do I get the detailed procedure to find GCD of 177, 728, 709, 693?

You can find a detailed procedure to find GCD of 177, 728, 709, 693 on our page.

3. How to find GCD of 177, 728, 709, 693 on a calculator?

You can find the GCD of 177, 728, 709, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.