GCD of 128, 689, 32, 750 Calculator

Given Input numbers are 128, 689, 32, 750

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 128, 689, 32, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 689, 32, 750 is 1.

Therefore, GCD of numbers 128, 689, 32, 750 is 1

Given Input Data is 128, 689, 32, 750

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 689 is 13 x 53

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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, 689) = 88192

GCD(128, 689) = ( 128 x 689 ) / 88192

GCD(128, 689) = 88192 / 88192

GCD(128, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 128, 689, 32, 750 is 1

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1. What is the GCD of 128, 689, 32, 750?

GCD of 128, 689, 32, 750 is 1

2. Where do I get the detailed procedure to find GCD of 128, 689, 32, 750?

You can find a detailed procedure to find GCD of 128, 689, 32, 750 on our page.

3. How to find GCD of 128, 689, 32, 750 on a calculator?

You can find the GCD of 128, 689, 32, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.