GCD of 592, 374, 42, 167 Calculator

Given Input numbers are 592, 374, 42, 167

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 592, 374, 42, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 374, 42, 167 is 1.

Therefore, GCD of numbers 592, 374, 42, 167 is 1

Given Input Data is 592, 374, 42, 167

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 167 is 167

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(592, 374) = 110704

GCD(592, 374) = ( 592 x 374 ) / 110704

GCD(592, 374) = 221408 / 110704

GCD(592, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 167

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

LCM(2, 167) = 334

GCD(2, 167) = ( 2 x 167 ) / 334

GCD(2, 167) = 334 / 334

GCD(2, 167) = 1

GCD of 592, 374, 42, 167 is 1

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1. What is the GCD of 592, 374, 42, 167?

GCD of 592, 374, 42, 167 is 1

2. Where do I get the detailed procedure to find GCD of 592, 374, 42, 167?

You can find a detailed procedure to find GCD of 592, 374, 42, 167 on our page.

3. How to find GCD of 592, 374, 42, 167 on a calculator?

You can find the GCD of 592, 374, 42, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.