GCD of 384, 753, 967, 170 Calculator

Given Input numbers are 384, 753, 967, 170

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 384, 753, 967, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 753, 967, 170 is 1.

Therefore, GCD of numbers 384, 753, 967, 170 is 1

Given Input Data is 384, 753, 967, 170

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 753 is 3 x 251

Prime Factorization of 967 is 967

Prime Factorization of 170 is 2 x 5 x 17

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(384, 753) = 96384

GCD(384, 753) = ( 384 x 753 ) / 96384

GCD(384, 753) = 289152 / 96384

GCD(384, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 967

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

LCM(3, 967) = 2901

GCD(3, 967) = ( 3 x 967 ) / 2901

GCD(3, 967) = 2901 / 2901

GCD(3, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 384, 753, 967, 170 is 1

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1. What is the GCD of 384, 753, 967, 170?

GCD of 384, 753, 967, 170 is 1

2. Where do I get the detailed procedure to find GCD of 384, 753, 967, 170?

You can find a detailed procedure to find GCD of 384, 753, 967, 170 on our page.

3. How to find GCD of 384, 753, 967, 170 on a calculator?

You can find the GCD of 384, 753, 967, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.