GCD of 675, 453, 320, 128 Calculator

Given Input numbers are 675, 453, 320, 128

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 128

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

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

Greatest Common Divisior

We found the divisors of 675, 453, 320, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 453, 320, 128 is 1.

Therefore, GCD of numbers 675, 453, 320, 128 is 1

Given Input Data is 675, 453, 320, 128

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 453 is 3 x 151

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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

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(675, 453) = 101925

GCD(675, 453) = ( 675 x 453 ) / 101925

GCD(675, 453) = 305775 / 101925

GCD(675, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 320

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

LCM(3, 320) = 960

GCD(3, 320) = ( 3 x 320 ) / 960

GCD(3, 320) = 960 / 960

GCD(3, 320) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 675, 453, 320, 128 is 1

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1. What is the GCD of 675, 453, 320, 128?

GCD of 675, 453, 320, 128 is 1

2. Where do I get the detailed procedure to find GCD of 675, 453, 320, 128?

You can find a detailed procedure to find GCD of 675, 453, 320, 128 on our page.

3. How to find GCD of 675, 453, 320, 128 on a calculator?

You can find the GCD of 675, 453, 320, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.