GCD of 108, 466, 436 Calculator

Given Input numbers are 108, 466, 436

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

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

Divisors of 466 :

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

1, 2, 233, 466

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

GCD of numbers is the greatest common divisor

So, the GCD (108, 466, 436) = 2.

Given numbers are 108, 466, 436

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 466 are 2 x 233

Prime factors of 436 are 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 108, 466, 436 is 2.

Given numbers are 108, 466, 436

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

Apply this formula for all numbers.

Step1:

LCM(108, 466) = 25164

GCD(108, 466) = ( 108 x 466 ) / 25164

= 108 / 466

= 108

Step2:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2

So, Greatest Common Divisor of 108, 466, 436 is 2

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Given numbers are 108, 466, 436
The greatest common divisor of numbers 108, 466, 436 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 466, 436 is 2.

1. What is the GCD of 108, 466, 436?

GCD of given numbers 108, 466, 436 is 2

2. How to calculate the greatest common divisor of 108, 466, 436?

We can find the highest common divisor of 108, 466, 436 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 108, 466, 436 i.e 2.

3. How can I use the GCD of 108, 466, 436Calculator?

Out the numbers 108, 466, 436 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.