GCD of 128, 675, 974, 353 Calculator

Given Input numbers are 128, 675, 974, 353

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 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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 128, 675, 974, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 675, 974, 353 is 1.

Therefore, GCD of numbers 128, 675, 974, 353 is 1

Given Input Data is 128, 675, 974, 353

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 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 974 is 2 x 487

Prime Factorization of 353 is 353

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, 675) = 86400

GCD(128, 675) = ( 128 x 675 ) / 86400

GCD(128, 675) = 86400 / 86400

GCD(128, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 128, 675, 974, 353 is 1

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1. What is the GCD of 128, 675, 974, 353?

GCD of 128, 675, 974, 353 is 1

2. Where do I get the detailed procedure to find GCD of 128, 675, 974, 353?

You can find a detailed procedure to find GCD of 128, 675, 974, 353 on our page.

3. How to find GCD of 128, 675, 974, 353 on a calculator?

You can find the GCD of 128, 675, 974, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.