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GCD of 171, 187, 67 Calculator

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


Online GCD Calculator is useful to find the GCD of 171, 187, 67 quickly. Get the easiest ways to solve the greatest common divisor of 171, 187, 67 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 171, 187, 67 with Factoring?

Given Input numbers are 171, 187, 67

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67


GCD of numbers is the greatest common divisor

So, the GCD (171, 187, 67) = 1.

Find GCD of 171, 187, 67 using Prime Factorization

Given numbers are 171, 187, 67

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 187 are 11 x 17

Prime factors of 67 are 67

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

Steps to Calculate GCD of 171, 187, 67 using LCM Formula

Given numbers are 171, 187, 67

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

Apply this formula for all numbers.

Step1:

LCM(171, 187) = 31977

GCD(171, 187) = ( 171 x 187 ) / 31977

= 171 / 187

= 171


Step2:

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

= 1 / 67

= 1


So, Greatest Common Divisor of 171, 187, 67 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 171, 187, 67

Given numbers are 171, 187, 67
The greatest common divisor of numbers 171, 187, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 187, 67 is 1.

FAQs on GCD of 171, 187, 67 Calculator

1. What is the GCD of 171, 187, 67?

GCD of given numbers 171, 187, 67 is 1


2. How to calculate the greatest common divisor of 171, 187, 67?

We can find the highest common divisor of 171, 187, 67 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 171, 187, 67 i.e 1.


3. How can I use the GCD of 171, 187, 67Calculator?

Out the numbers 171, 187, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.