GCD of 432, 442, 660, 208 Calculator

Given Input numbers are 432, 442, 660, 208

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 442 :

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

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (432, 442, 660, 208) = 2.

Given numbers are 432, 442, 660, 208

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 442 are 2 x 13 x 17

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 432, 442, 660, 208 is 2.

Given numbers are 432, 442, 660, 208

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

Apply this formula for all numbers.

Step1:

LCM(432, 442) = 95472

GCD(432, 442) = ( 432 x 442 ) / 95472

= 432 / 442

= 432

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 432, 442, 660, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 969, 489, 779
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Given numbers are 432, 442, 660, 208
The greatest common divisor of numbers 432, 442, 660, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 442, 660, 208 is 2.

1. What is the GCD of 432, 442, 660, 208?

GCD of given numbers 432, 442, 660, 208 is 2

2. How to calculate the greatest common divisor of 432, 442, 660, 208?

We can find the highest common divisor of 432, 442, 660, 208 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 432, 442, 660, 208 i.e 2.

3. How can I use the GCD of 432, 442, 660, 208Calculator?

Out the numbers 432, 442, 660, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.