GCD of 442, 160, 32, 992 Calculator

Given Input numbers are 442, 160, 32, 992

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

Divisors of 442 :

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

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 32 :

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

1, 2, 4, 8, 16, 32

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (442, 160, 32, 992) = 2.

Given numbers are 442, 160, 32, 992

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 442, 160, 32, 992 is 2.

Given numbers are 442, 160, 32, 992

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

Apply this formula for all numbers.

Step1:

LCM(442, 160) = 35360

GCD(442, 160) = ( 442 x 160 ) / 35360

= 442 / 160

= 442

Step2:

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

= 2 / 32

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 442, 160, 32, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 774, 60, 512
• GCD of 758, 850, 81, 540
• GCD of 381, 383, 37, 870
• GCD of 903, 736, 38, 621
• GCD of 213, 131, 64, 670

Given numbers are 442, 160, 32, 992
The greatest common divisor of numbers 442, 160, 32, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 160, 32, 992 is 2.

1. What is the GCD of 442, 160, 32, 992?

GCD of given numbers 442, 160, 32, 992 is 2

2. How to calculate the greatest common divisor of 442, 160, 32, 992?

We can find the highest common divisor of 442, 160, 32, 992 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 442, 160, 32, 992 i.e 2.

3. How can I use the GCD of 442, 160, 32, 992Calculator?

Out the numbers 442, 160, 32, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.