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 231, 350, 517, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 231, 350, 517, 189 quickly. Get the easiest ways to solve the greatest common divisor of 231, 350, 517, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 350, 517, 189 with Factoring?

Given Input numbers are 231, 350, 517, 189

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189


GCD of numbers is the greatest common divisor

So, the GCD (231, 350, 517, 189) = 1.

Find GCD of 231, 350, 517, 189 using Prime Factorization

Given numbers are 231, 350, 517, 189

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 517 are 11 x 47

Prime factors of 189 are 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 231, 350, 517, 189 using LCM Formula

Given numbers are 231, 350, 517, 189

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

Apply this formula for all numbers.

Step1:

LCM(231, 350) = 11550

GCD(231, 350) = ( 231 x 350 ) / 11550

= 231 / 350

= 231


Step2:

LCM(7, 517) = 3619

GCD(7, 517) = ( 7 x 517 ) / 3619

= 7 / 517

= 7


Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


So, Greatest Common Divisor of 231, 350, 517, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 350, 517, 189

Given numbers are 231, 350, 517, 189
The greatest common divisor of numbers 231, 350, 517, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 350, 517, 189 is 1.

FAQs on GCD of 231, 350, 517, 189 Calculator

1. What is the GCD of 231, 350, 517, 189?

GCD of given numbers 231, 350, 517, 189 is 1


2. How to calculate the greatest common divisor of 231, 350, 517, 189?

We can find the highest common divisor of 231, 350, 517, 189 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 231, 350, 517, 189 i.e 1.


3. How can I use the GCD of 231, 350, 517, 189Calculator?

Out the numbers 231, 350, 517, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.