GCD of 148, 302, 393, 170 Calculator

Given Input numbers are 148, 302, 393, 170

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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 148, 302, 393, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 302, 393, 170 is 1.

Therefore, GCD of numbers 148, 302, 393, 170 is 1

Given Input Data is 148, 302, 393, 170

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 302 is 2 x 151

Prime Factorization of 393 is 3 x 131

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(148, 302) = 22348

GCD(148, 302) = ( 148 x 302 ) / 22348

GCD(148, 302) = 44696 / 22348

GCD(148, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 393

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

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

GCD(2, 393) = 786 / 786

GCD(2, 393) = 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 148, 302, 393, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 239, 894, 643
• GCD of 365, 447, 645, 756
• GCD of 514, 349, 107, 540
• GCD of 134, 802, 613, 374
• GCD of 260, 350, 705, 432

1. What is the GCD of 148, 302, 393, 170?

GCD of 148, 302, 393, 170 is 1

2. Where do I get the detailed procedure to find GCD of 148, 302, 393, 170?

You can find a detailed procedure to find GCD of 148, 302, 393, 170 on our page.

3. How to find GCD of 148, 302, 393, 170 on a calculator?

You can find the GCD of 148, 302, 393, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.