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GCD of 178, 128, 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 178, 128, 136 quickly. Get the easiest ways to solve the greatest common divisor of 178, 128, 136 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 178, 128, 136 with Factoring?

Given Input numbers are 178, 128, 136

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

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

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 (178, 128, 136) = 2.

Find GCD of 178, 128, 136 using Prime Factorization

Given numbers are 178, 128, 136

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

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

The highest common occurrence is 21

Therefore, GCD of 178, 128, 136 is 2.

Steps to Calculate GCD of 178, 128, 136 using LCM Formula

Given numbers are 178, 128, 136

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

Apply this formula for all numbers.

Step1:

LCM(178, 128) = 11392

GCD(178, 128) = ( 178 x 128 ) / 11392

= 178 / 128

= 178


Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2


So, Greatest Common Divisor of 178, 128, 136 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 178, 128, 136

Given numbers are 178, 128, 136
The greatest common divisor of numbers 178, 128, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 128, 136 is 2.

FAQs on GCD of 178, 128, 136 Calculator

1. What is the GCD of 178, 128, 136?

GCD of given numbers 178, 128, 136 is 2


2. How to calculate the greatest common divisor of 178, 128, 136?

We can find the highest common divisor of 178, 128, 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 178, 128, 136 i.e 2.


3. How can I use the GCD of 178, 128, 136Calculator?

Out the numbers 178, 128, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.