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GCD of 159, 174, 396, 167 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 159, 174, 396, 167 quickly. Get the easiest ways to solve the greatest common divisor of 159, 174, 396, 167 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 159, 174, 396, 167 with Factoring?

Given Input numbers are 159, 174, 396, 167

In the factoring method, we have to find the divisors of all numbers

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167


GCD of numbers is the greatest common divisor

So, the GCD (159, 174, 396, 167) = 1.

Find GCD of 159, 174, 396, 167 using Prime Factorization

Given numbers are 159, 174, 396, 167

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 174 are 2 x 3 x 29

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 167 are 167

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 159, 174, 396, 167 using LCM Formula

Given numbers are 159, 174, 396, 167

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(159, 174) = 9222

GCD(159, 174) = ( 159 x 174 ) / 9222

= 159 / 174

= 159


Step2:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3


Step3:

LCM(3, 167) = 501

GCD(3, 167) = ( 3 x 167 ) / 501

= 3 / 167

= 3


So, Greatest Common Divisor of 159, 174, 396, 167 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 159, 174, 396, 167

Given numbers are 159, 174, 396, 167
The greatest common divisor of numbers 159, 174, 396, 167 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 174, 396, 167 is 1.

FAQs on GCD of 159, 174, 396, 167 Calculator

1. What is the GCD of 159, 174, 396, 167?

GCD of given numbers 159, 174, 396, 167 is 1


2. How to calculate the greatest common divisor of 159, 174, 396, 167?

We can find the highest common divisor of 159, 174, 396, 167 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 159, 174, 396, 167 i.e 1.


3. How can I use the GCD of 159, 174, 396, 167Calculator?

Out the numbers 159, 174, 396, 167 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.