GCD of 482, 424, 316, 214 Calculator

Given Input numbers are 482, 424, 316, 214

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

Divisors of 482 :

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

1, 2, 241, 482

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (482, 424, 316, 214) = 2.

Given numbers are 482, 424, 316, 214

The list of prime factors of all numbers are

Prime factors of 482 are 2 x 241

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 316 are 2 x 2 x 79

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 482, 424, 316, 214 is 2.

Given numbers are 482, 424, 316, 214

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

Apply this formula for all numbers.

Step1:

LCM(482, 424) = 102184

GCD(482, 424) = ( 482 x 424 ) / 102184

= 482 / 424

= 482

Step2:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

Step3:

LCM(2, 214) = 214

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

= 2 / 214

= 2

So, Greatest Common Divisor of 482, 424, 316, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 602, 795, 750
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Given numbers are 482, 424, 316, 214
The greatest common divisor of numbers 482, 424, 316, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 424, 316, 214 is 2.

1. What is the GCD of 482, 424, 316, 214?

GCD of given numbers 482, 424, 316, 214 is 2

2. How to calculate the greatest common divisor of 482, 424, 316, 214?

We can find the highest common divisor of 482, 424, 316, 214 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 482, 424, 316, 214 i.e 2.

3. How can I use the GCD of 482, 424, 316, 214Calculator?

Out the numbers 482, 424, 316, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.