GCD of 214, 144, 734, 482 Calculator

Given Input numbers are 214, 144, 734, 482

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

GCD of numbers is the greatest common divisor

So, the GCD (214, 144, 734, 482) = 2.

Given numbers are 214, 144, 734, 482

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

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

Prime factors of 734 are 2 x 367

Prime factors of 482 are 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 214, 144, 734, 482 is 2.

Given numbers are 214, 144, 734, 482

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

Apply this formula for all numbers.

Step1:

LCM(214, 144) = 15408

GCD(214, 144) = ( 214 x 144 ) / 15408

= 214 / 144

= 214

Step2:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

Step3:

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

= 2 / 482

= 2

So, Greatest Common Divisor of 214, 144, 734, 482 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 290, 283, 585
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• GCD of 639, 500, 395, 357

Given numbers are 214, 144, 734, 482
The greatest common divisor of numbers 214, 144, 734, 482 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 144, 734, 482 is 2.

1. What is the GCD of 214, 144, 734, 482?

GCD of given numbers 214, 144, 734, 482 is 2

2. How to calculate the greatest common divisor of 214, 144, 734, 482?

We can find the highest common divisor of 214, 144, 734, 482 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 214, 144, 734, 482 i.e 2.

3. How can I use the GCD of 214, 144, 734, 482Calculator?

Out the numbers 214, 144, 734, 482 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.