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GCD of 355, 357, 189, 361 Calculator

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


Online GCD Calculator is useful to find the GCD of 355, 357, 189, 361 quickly. Get the easiest ways to solve the greatest common divisor of 355, 357, 189, 361 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 355, 357, 189, 361 with Factoring?

Given Input numbers are 355, 357, 189, 361

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 189 :

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

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

Divisors of 361 :

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

1, 19, 361


GCD of numbers is the greatest common divisor

So, the GCD (355, 357, 189, 361) = 1.

Find GCD of 355, 357, 189, 361 using Prime Factorization

Given numbers are 355, 357, 189, 361

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 357 are 3 x 7 x 17

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

Prime factors of 361 are 19 x 19

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

Steps to Calculate GCD of 355, 357, 189, 361 using LCM Formula

Given numbers are 355, 357, 189, 361

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

Apply this formula for all numbers.

Step1:

LCM(355, 357) = 126735

GCD(355, 357) = ( 355 x 357 ) / 126735

= 355 / 357

= 355


Step2:

LCM(1, 189) = 189

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

= 1 / 189

= 1


Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1


So, Greatest Common Divisor of 355, 357, 189, 361 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 355, 357, 189, 361

Given numbers are 355, 357, 189, 361
The greatest common divisor of numbers 355, 357, 189, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 357, 189, 361 is 1.

FAQs on GCD of 355, 357, 189, 361 Calculator

1. What is the GCD of 355, 357, 189, 361?

GCD of given numbers 355, 357, 189, 361 is 1


2. How to calculate the greatest common divisor of 355, 357, 189, 361?

We can find the highest common divisor of 355, 357, 189, 361 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 355, 357, 189, 361 i.e 1.


3. How can I use the GCD of 355, 357, 189, 361Calculator?

Out the numbers 355, 357, 189, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.