GCD of 116, 472, 32, 442 Calculator

Given Input numbers are 116, 472, 32, 442

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 32 :

The positive integer divisors of 32 that completely divides 32 are.

1, 2, 4, 8, 16, 32

Divisors of 442 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (116, 472, 32, 442) = 2.

Given numbers are 116, 472, 32, 442

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 32 are 2 x 2 x 2 x 2 x 2

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 116, 472, 32, 442 is 2.

Given numbers are 116, 472, 32, 442

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

Apply this formula for all numbers.

Step1:

LCM(116, 472) = 13688

GCD(116, 472) = ( 116 x 472 ) / 13688

= 116 / 472

= 116

Step2:

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

= 4 / 32

= 4

Step3:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

So, Greatest Common Divisor of 116, 472, 32, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 278, 64, 777
• GCD of 384, 933, 94, 608
• GCD of 824, 495, 32, 827
• GCD of 881, 306, 92, 500
• GCD of 277, 570, 47, 372

Given numbers are 116, 472, 32, 442
The greatest common divisor of numbers 116, 472, 32, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 472, 32, 442 is 2.

1. What is the GCD of 116, 472, 32, 442?

GCD of given numbers 116, 472, 32, 442 is 2

2. How to calculate the greatest common divisor of 116, 472, 32, 442?

We can find the highest common divisor of 116, 472, 32, 442 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 116, 472, 32, 442 i.e 2.

3. How can I use the GCD of 116, 472, 32, 442Calculator?

Out the numbers 116, 472, 32, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.