GCD of 708, 723, 128, 257 Calculator

Given Input numbers are 708, 723, 128, 257

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 723

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

1, 3, 241, 723

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 708, 723, 128, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 723, 128, 257 is 1.

Therefore, GCD of numbers 708, 723, 128, 257 is 1

Given Input Data is 708, 723, 128, 257

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 723 is 3 x 241

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 257 is 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(708, 723) = 170628

GCD(708, 723) = ( 708 x 723 ) / 170628

GCD(708, 723) = 511884 / 170628

GCD(708, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 128

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

LCM(3, 128) = 384

GCD(3, 128) = ( 3 x 128 ) / 384

GCD(3, 128) = 384 / 384

GCD(3, 128) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 708, 723, 128, 257 is 1

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1. What is the GCD of 708, 723, 128, 257?

GCD of 708, 723, 128, 257 is 1

2. Where do I get the detailed procedure to find GCD of 708, 723, 128, 257?

You can find a detailed procedure to find GCD of 708, 723, 128, 257 on our page.

3. How to find GCD of 708, 723, 128, 257 on a calculator?

You can find the GCD of 708, 723, 128, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.