GCD of 492, 488, 318, 828 Calculator

Given Input numbers are 492, 488, 318, 828

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 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (492, 488, 318, 828) = 2.

Given numbers are 492, 488, 318, 828

The list of prime factors of all numbers are

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

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 318 are 2 x 3 x 53

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 492, 488, 318, 828 is 2.

Given numbers are 492, 488, 318, 828

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

Apply this formula for all numbers.

Step1:

LCM(492, 488) = 60024

GCD(492, 488) = ( 492 x 488 ) / 60024

= 492 / 488

= 492

Step2:

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

= 4 / 318

= 4

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 492, 488, 318, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 847, 399, 970
• GCD of 752, 383, 155, 162
• GCD of 534, 876, 557, 325
• GCD of 342, 297, 901, 668
• GCD of 118, 670, 449, 168

Given numbers are 492, 488, 318, 828
The greatest common divisor of numbers 492, 488, 318, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 488, 318, 828 is 2.

1. What is the GCD of 492, 488, 318, 828?

GCD of given numbers 492, 488, 318, 828 is 2

2. How to calculate the greatest common divisor of 492, 488, 318, 828?

We can find the highest common divisor of 492, 488, 318, 828 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, 488, 318, 828 i.e 2.

3. How can I use the GCD of 492, 488, 318, 828Calculator?

Out the numbers 492, 488, 318, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.