GCD of 384, 426, 144, 217 Calculator

Given Input numbers are 384, 426, 144, 217

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

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (384, 426, 144, 217) = 1.

Given numbers are 384, 426, 144, 217

The list of prime factors of all numbers are

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

Prime factors of 426 are 2 x 3 x 71

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 217 are 7 x 31

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

Given numbers are 384, 426, 144, 217

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

Apply this formula for all numbers.

Step1:

LCM(384, 426) = 27264

GCD(384, 426) = ( 384 x 426 ) / 27264

= 384 / 426

= 384

Step2:

LCM(6, 144) = 144

GCD(6, 144) = ( 6 x 144 ) / 144

= 6 / 144

= 6

Step3:

LCM(6, 217) = 1302

GCD(6, 217) = ( 6 x 217 ) / 1302

= 6 / 217

= 6

So, Greatest Common Divisor of 384, 426, 144, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 471, 920, 532
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Given numbers are 384, 426, 144, 217
The greatest common divisor of numbers 384, 426, 144, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 426, 144, 217 is 1.

1. What is the GCD of 384, 426, 144, 217?

GCD of given numbers 384, 426, 144, 217 is 1

2. How to calculate the greatest common divisor of 384, 426, 144, 217?

We can find the highest common divisor of 384, 426, 144, 217 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 384, 426, 144, 217 i.e 1.

3. How can I use the GCD of 384, 426, 144, 217Calculator?

Out the numbers 384, 426, 144, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.