GCD of 42, 358, 836, 167 Calculator

Given Input numbers are 42, 358, 836, 167

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

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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 42, 358, 836, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 358, 836, 167 is 1.

Therefore, GCD of numbers 42, 358, 836, 167 is 1

Given Input Data is 42, 358, 836, 167

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 358 is 2 x 179

Prime Factorization of 836 is 2 x 2 x 11 x 19

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(42, 358) = 7518

GCD(42, 358) = ( 42 x 358 ) / 7518

GCD(42, 358) = 15036 / 7518

GCD(42, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 836

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

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

GCD(2, 836) = 1672 / 836

GCD(2, 836) = 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 42, 358, 836, 167 is 1

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1. What is the GCD of 42, 358, 836, 167?

GCD of 42, 358, 836, 167 is 1

2. Where do I get the detailed procedure to find GCD of 42, 358, 836, 167?

You can find a detailed procedure to find GCD of 42, 358, 836, 167 on our page.

3. How to find GCD of 42, 358, 836, 167 on a calculator?

You can find the GCD of 42, 358, 836, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.