LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 171, 361, 343, 247 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, 361, 343, 247 quickly. Get the easiest ways to solve the greatest common divisor of 171, 361, 343, 247 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 171, 361, 343, 247 with Factoring?

Given Input numbers are 171, 361, 343, 247

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247


GCD of numbers is the greatest common divisor

So, the GCD (171, 361, 343, 247) = 1.

Find GCD of 171, 361, 343, 247 using Prime Factorization

Given numbers are 171, 361, 343, 247

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 361 are 19 x 19

Prime factors of 343 are 7 x 7 x 7

Prime factors of 247 are 13 x 19

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

Steps to Calculate GCD of 171, 361, 343, 247 using LCM Formula

Given numbers are 171, 361, 343, 247

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

Apply this formula for all numbers.

Step1:

LCM(171, 361) = 3249

GCD(171, 361) = ( 171 x 361 ) / 3249

= 171 / 361

= 171


Step2:

LCM(19, 343) = 6517

GCD(19, 343) = ( 19 x 343 ) / 6517

= 19 / 343

= 19


Step3:

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

= 1 / 247

= 1


So, Greatest Common Divisor of 171, 361, 343, 247 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 171, 361, 343, 247

Given numbers are 171, 361, 343, 247
The greatest common divisor of numbers 171, 361, 343, 247 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 361, 343, 247 is 1.

FAQs on GCD of 171, 361, 343, 247 Calculator

1. What is the GCD of 171, 361, 343, 247?

GCD of given numbers 171, 361, 343, 247 is 1


2. How to calculate the greatest common divisor of 171, 361, 343, 247?

We can find the highest common divisor of 171, 361, 343, 247 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, 361, 343, 247 i.e 1.


3. How can I use the GCD of 171, 361, 343, 247Calculator?

Out the numbers 171, 361, 343, 247 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.