GCD of 438, 464, 404 Calculator

Given Input numbers are 438, 464, 404

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (438, 464, 404) = 2.

Given numbers are 438, 464, 404

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

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

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 438, 464, 404 is 2.

Given numbers are 438, 464, 404

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

Apply this formula for all numbers.

Step1:

LCM(438, 464) = 101616

GCD(438, 464) = ( 438 x 464 ) / 101616

= 438 / 464

= 438

Step2:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 438, 464, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 514, 930
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• GCD of 354, 272, 243
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Given numbers are 438, 464, 404
The greatest common divisor of numbers 438, 464, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 464, 404 is 2.

1. What is the GCD of 438, 464, 404?

GCD of given numbers 438, 464, 404 is 2

2. How to calculate the greatest common divisor of 438, 464, 404?

We can find the highest common divisor of 438, 464, 404 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 438, 464, 404 i.e 2.

3. How can I use the GCD of 438, 464, 404Calculator?

Out the numbers 438, 464, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.