GCD of 412, 390, 442, 464 Calculator

Given Input numbers are 412, 390, 442, 464

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 442 :

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

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (412, 390, 442, 464) = 2.

Given numbers are 412, 390, 442, 464

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 442 are 2 x 13 x 17

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 412, 390, 442, 464 is 2.

Given numbers are 412, 390, 442, 464

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

Apply this formula for all numbers.

Step1:

LCM(412, 390) = 80340

GCD(412, 390) = ( 412 x 390 ) / 80340

= 412 / 390

= 412

Step2:

LCM(2, 442) = 442

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

= 2 / 442

= 2

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 412, 390, 442, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 771, 153, 537
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Given numbers are 412, 390, 442, 464
The greatest common divisor of numbers 412, 390, 442, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 390, 442, 464 is 2.

1. What is the GCD of 412, 390, 442, 464?

GCD of given numbers 412, 390, 442, 464 is 2

2. How to calculate the greatest common divisor of 412, 390, 442, 464?

We can find the highest common divisor of 412, 390, 442, 464 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 412, 390, 442, 464 i.e 2.

3. How can I use the GCD of 412, 390, 442, 464Calculator?

Out the numbers 412, 390, 442, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.