GCD of 466, 324, 464, 398 Calculator

Given Input numbers are 466, 324, 464, 398

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

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 464 :

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

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (466, 324, 464, 398) = 2.

Given numbers are 466, 324, 464, 398

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 466, 324, 464, 398 is 2.

Given numbers are 466, 324, 464, 398

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

Apply this formula for all numbers.

Step1:

LCM(466, 324) = 75492

GCD(466, 324) = ( 466 x 324 ) / 75492

= 466 / 324

= 466

Step2:

LCM(2, 464) = 464

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

= 2 / 464

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 466, 324, 464, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 693, 558, 807
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Given numbers are 466, 324, 464, 398
The greatest common divisor of numbers 466, 324, 464, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 324, 464, 398 is 2.

1. What is the GCD of 466, 324, 464, 398?

GCD of given numbers 466, 324, 464, 398 is 2

2. How to calculate the greatest common divisor of 466, 324, 464, 398?

We can find the highest common divisor of 466, 324, 464, 398 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 466, 324, 464, 398 i.e 2.

3. How can I use the GCD of 466, 324, 464, 398Calculator?

Out the numbers 466, 324, 464, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.