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GCD of 189, 226, 119, 136 Calculator

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


Online GCD Calculator is useful to find the GCD of 189, 226, 119, 136 quickly. Get the easiest ways to solve the greatest common divisor of 189, 226, 119, 136 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 226, 119, 136 with Factoring?

Given Input numbers are 189, 226, 119, 136

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

Divisors of 189 :

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

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136


GCD of numbers is the greatest common divisor

So, the GCD (189, 226, 119, 136) = 1.

Find GCD of 189, 226, 119, 136 using Prime Factorization

Given numbers are 189, 226, 119, 136

The list of prime factors of all numbers are

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

Prime factors of 226 are 2 x 113

Prime factors of 119 are 7 x 17

Prime factors of 136 are 2 x 2 x 2 x 17

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

Steps to Calculate GCD of 189, 226, 119, 136 using LCM Formula

Given numbers are 189, 226, 119, 136

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

Apply this formula for all numbers.

Step1:

LCM(189, 226) = 42714

GCD(189, 226) = ( 189 x 226 ) / 42714

= 189 / 226

= 189


Step2:

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

= 1 / 119

= 1


Step3:

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

= 1 / 136

= 1


So, Greatest Common Divisor of 189, 226, 119, 136 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 226, 119, 136

Given numbers are 189, 226, 119, 136
The greatest common divisor of numbers 189, 226, 119, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 226, 119, 136 is 1.

FAQs on GCD of 189, 226, 119, 136 Calculator

1. What is the GCD of 189, 226, 119, 136?

GCD of given numbers 189, 226, 119, 136 is 1


2. How to calculate the greatest common divisor of 189, 226, 119, 136?

We can find the highest common divisor of 189, 226, 119, 136 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 189, 226, 119, 136 i.e 1.


3. How can I use the GCD of 189, 226, 119, 136Calculator?

Out the numbers 189, 226, 119, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.