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GCD of 427, 361, 814, 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 427, 361, 814, 189 quickly. Get the easiest ways to solve the greatest common divisor of 427, 361, 814, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 427, 361, 814, 189 with Factoring?

Given Input numbers are 427, 361, 814, 189

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 361 :

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

1, 19, 361

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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 (427, 361, 814, 189) = 1.

Find GCD of 427, 361, 814, 189 using Prime Factorization

Given numbers are 427, 361, 814, 189

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 361 are 19 x 19

Prime factors of 814 are 2 x 11 x 37

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 427, 361, 814, 189 using LCM Formula

Given numbers are 427, 361, 814, 189

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

Apply this formula for all numbers.

Step1:

LCM(427, 361) = 154147

GCD(427, 361) = ( 427 x 361 ) / 154147

= 427 / 361

= 427


Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1


Step3:

LCM(1, 189) = 189

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

= 1 / 189

= 1


So, Greatest Common Divisor of 427, 361, 814, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 427, 361, 814, 189

Given numbers are 427, 361, 814, 189
The greatest common divisor of numbers 427, 361, 814, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 361, 814, 189 is 1.

FAQs on GCD of 427, 361, 814, 189 Calculator

1. What is the GCD of 427, 361, 814, 189?

GCD of given numbers 427, 361, 814, 189 is 1


2. How to calculate the greatest common divisor of 427, 361, 814, 189?

We can find the highest common divisor of 427, 361, 814, 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 427, 361, 814, 189 i.e 1.


3. How can I use the GCD of 427, 361, 814, 189Calculator?

Out the numbers 427, 361, 814, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.