GCD of 428, 212, 138, 384 Calculator

Given Input numbers are 428, 212, 138, 384

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 (428, 212, 138, 384) = 2.

Given numbers are 428, 212, 138, 384

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 212 are 2 x 2 x 53

Prime factors of 138 are 2 x 3 x 23

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 428, 212, 138, 384 is 2.

Given numbers are 428, 212, 138, 384

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

Apply this formula for all numbers.

Step1:

LCM(428, 212) = 22684

GCD(428, 212) = ( 428 x 212 ) / 22684

= 428 / 212

= 428

Step2:

LCM(4, 138) = 276

GCD(4, 138) = ( 4 x 138 ) / 276

= 4 / 138

= 4

Step3:

LCM(2, 384) = 384

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

= 2 / 384

= 2

So, Greatest Common Divisor of 428, 212, 138, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 927, 251, 824
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Given numbers are 428, 212, 138, 384
The greatest common divisor of numbers 428, 212, 138, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 212, 138, 384 is 2.

1. What is the GCD of 428, 212, 138, 384?

GCD of given numbers 428, 212, 138, 384 is 2

2. How to calculate the greatest common divisor of 428, 212, 138, 384?

We can find the highest common divisor of 428, 212, 138, 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 428, 212, 138, 384 i.e 2.

3. How can I use the GCD of 428, 212, 138, 384Calculator?

Out the numbers 428, 212, 138, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.