GCD of 272, 422, 188 Calculator

Given Input numbers are 272, 422, 188

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (272, 422, 188) = 2.

Given numbers are 272, 422, 188

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 422 are 2 x 211

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 272, 422, 188 is 2.

Given numbers are 272, 422, 188

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

Apply this formula for all numbers.

Step1:

LCM(272, 422) = 57392

GCD(272, 422) = ( 272 x 422 ) / 57392

= 272 / 422

= 272

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

So, Greatest Common Divisor of 272, 422, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 905, 759
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Given numbers are 272, 422, 188
The greatest common divisor of numbers 272, 422, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 422, 188 is 2.

1. What is the GCD of 272, 422, 188?

GCD of given numbers 272, 422, 188 is 2

2. How to calculate the greatest common divisor of 272, 422, 188?

We can find the highest common divisor of 272, 422, 188 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 272, 422, 188 i.e 2.

3. How can I use the GCD of 272, 422, 188Calculator?

Out the numbers 272, 422, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.