GCD of 370, 408, 466 Calculator

Given Input numbers are 370, 408, 466

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 466 :

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

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (370, 408, 466) = 2.

Given numbers are 370, 408, 466

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 370, 408, 466 is 2.

Given numbers are 370, 408, 466

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

Apply this formula for all numbers.

Step1:

LCM(370, 408) = 75480

GCD(370, 408) = ( 370 x 408 ) / 75480

= 370 / 408

= 370

Step2:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 370, 408, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 622, 265
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Given numbers are 370, 408, 466
The greatest common divisor of numbers 370, 408, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 408, 466 is 2.

1. What is the GCD of 370, 408, 466?

GCD of given numbers 370, 408, 466 is 2

2. How to calculate the greatest common divisor of 370, 408, 466?

We can find the highest common divisor of 370, 408, 466 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 370, 408, 466 i.e 2.

3. How can I use the GCD of 370, 408, 466Calculator?

Out the numbers 370, 408, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.