GCD of 492, 320, 42, 484 Calculator

Given Input numbers are 492, 320, 42, 484

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (492, 320, 42, 484) = 2.

Given numbers are 492, 320, 42, 484

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 42 are 2 x 3 x 7

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 492, 320, 42, 484 is 2.

Given numbers are 492, 320, 42, 484

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

Apply this formula for all numbers.

Step1:

LCM(492, 320) = 39360

GCD(492, 320) = ( 492 x 320 ) / 39360

= 492 / 320

= 492

Step2:

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

= 4 / 42

= 4

Step3:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

So, Greatest Common Divisor of 492, 320, 42, 484 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 547, 49, 953
• GCD of 385, 139, 27, 504
• GCD of 584, 658, 93, 507
• GCD of 817, 624, 30, 844
• GCD of 253, 792, 44, 482

Given numbers are 492, 320, 42, 484
The greatest common divisor of numbers 492, 320, 42, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 320, 42, 484 is 2.

1. What is the GCD of 492, 320, 42, 484?

GCD of given numbers 492, 320, 42, 484 is 2

2. How to calculate the greatest common divisor of 492, 320, 42, 484?

We can find the highest common divisor of 492, 320, 42, 484 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 492, 320, 42, 484 i.e 2.

3. How can I use the GCD of 492, 320, 42, 484Calculator?

Out the numbers 492, 320, 42, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.