GCD of 382, 170, 43, 148 Calculator

Given Input numbers are 382, 170, 43, 148

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 170

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

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 148

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

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 382, 170, 43, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 170, 43, 148 is 1.

Therefore, GCD of numbers 382, 170, 43, 148 is 1

Given Input Data is 382, 170, 43, 148

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 43 is 43

Prime Factorization of 148 is 2 x 2 x 37

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(382, 170) = 32470

GCD(382, 170) = ( 382 x 170 ) / 32470

GCD(382, 170) = 64940 / 32470

GCD(382, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 382, 170, 43, 148 is 1

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1. What is the GCD of 382, 170, 43, 148?

GCD of 382, 170, 43, 148 is 1

2. Where do I get the detailed procedure to find GCD of 382, 170, 43, 148?

You can find a detailed procedure to find GCD of 382, 170, 43, 148 on our page.

3. How to find GCD of 382, 170, 43, 148 on a calculator?

You can find the GCD of 382, 170, 43, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.