GCD of 362, 218, 290, 442 Calculator

Given Input numbers are 362, 218, 290, 442

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (362, 218, 290, 442) = 2.

Given numbers are 362, 218, 290, 442

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 218 are 2 x 109

Prime factors of 290 are 2 x 5 x 29

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 362, 218, 290, 442 is 2.

Given numbers are 362, 218, 290, 442

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

Apply this formula for all numbers.

Step1:

LCM(362, 218) = 39458

GCD(362, 218) = ( 362 x 218 ) / 39458

= 362 / 218

= 362

Step2:

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

= 2 / 290

= 2

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 362, 218, 290, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 672, 693, 547
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• GCD of 832, 390, 723, 586

Given numbers are 362, 218, 290, 442
The greatest common divisor of numbers 362, 218, 290, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 218, 290, 442 is 2.

1. What is the GCD of 362, 218, 290, 442?

GCD of given numbers 362, 218, 290, 442 is 2

2. How to calculate the greatest common divisor of 362, 218, 290, 442?

We can find the highest common divisor of 362, 218, 290, 442 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 362, 218, 290, 442 i.e 2.

3. How can I use the GCD of 362, 218, 290, 442Calculator?

Out the numbers 362, 218, 290, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.