GCD of 152, 422, 384 Calculator

Given Input numbers are 152, 422, 384

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (152, 422, 384) = 2.

Given numbers are 152, 422, 384

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 422 are 2 x 211

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 152, 422, 384 is 2.

Given numbers are 152, 422, 384

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

Apply this formula for all numbers.

Step1:

LCM(152, 422) = 32072

GCD(152, 422) = ( 152 x 422 ) / 32072

= 152 / 422

= 152

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 152, 422, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 785, 542
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Given numbers are 152, 422, 384
The greatest common divisor of numbers 152, 422, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 422, 384 is 2.

1. What is the GCD of 152, 422, 384?

GCD of given numbers 152, 422, 384 is 2

2. How to calculate the greatest common divisor of 152, 422, 384?

We can find the highest common divisor of 152, 422, 384 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 152, 422, 384 i.e 2.

3. How can I use the GCD of 152, 422, 384Calculator?

Out the numbers 152, 422, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.