GCD of 128, 354, 563 Calculator

Given Input numbers are 128, 354, 563

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

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 128, 354, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 354, 563 is 1.

Therefore, GCD of numbers 128, 354, 563 is 1

Given Input Data is 128, 354, 563

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

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 563 is 563

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(128, 354) = 22656

GCD(128, 354) = ( 128 x 354 ) / 22656

GCD(128, 354) = 45312 / 22656

GCD(128, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

GCD of 128, 354, 563 is 1

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1. What is the GCD of 128, 354, 563?

GCD of 128, 354, 563 is 1

2. Where do I get the detailed procedure to find GCD of 128, 354, 563?

You can find a detailed procedure to find GCD of 128, 354, 563 on our page.

3. How to find GCD of 128, 354, 563 on a calculator?

You can find the GCD of 128, 354, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.