GCD of 496, 482, 214, 344 Calculator

Given Input numbers are 496, 482, 214, 344

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 482 :

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

1, 2, 241, 482

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (496, 482, 214, 344) = 2.

Given numbers are 496, 482, 214, 344

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 482 are 2 x 241

Prime factors of 214 are 2 x 107

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 496, 482, 214, 344 is 2.

Given numbers are 496, 482, 214, 344

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

Apply this formula for all numbers.

Step1:

LCM(496, 482) = 119536

GCD(496, 482) = ( 496 x 482 ) / 119536

= 496 / 482

= 496

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 496, 482, 214, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 734, 982, 564
• GCD of 364, 785, 274, 116
• GCD of 215, 281, 249, 191
• GCD of 355, 397, 859, 553
• GCD of 587, 959, 629, 112

Given numbers are 496, 482, 214, 344
The greatest common divisor of numbers 496, 482, 214, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 482, 214, 344 is 2.

1. What is the GCD of 496, 482, 214, 344?

GCD of given numbers 496, 482, 214, 344 is 2

2. How to calculate the greatest common divisor of 496, 482, 214, 344?

We can find the highest common divisor of 496, 482, 214, 344 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 496, 482, 214, 344 i.e 2.

3. How can I use the GCD of 496, 482, 214, 344Calculator?

Out the numbers 496, 482, 214, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.