GCD of 488, 264, 114, 792 Calculator

Given Input numbers are 488, 264, 114, 792

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

Divisors of 488 :

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

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (488, 264, 114, 792) = 2.

Given numbers are 488, 264, 114, 792

The list of prime factors of all numbers are

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 114 are 2 x 3 x 19

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 488, 264, 114, 792 is 2.

Given numbers are 488, 264, 114, 792

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

Apply this formula for all numbers.

Step1:

LCM(488, 264) = 16104

GCD(488, 264) = ( 488 x 264 ) / 16104

= 488 / 264

= 488

Step2:

LCM(8, 114) = 456

GCD(8, 114) = ( 8 x 114 ) / 456

= 8 / 114

= 8

Step3:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2

So, Greatest Common Divisor of 488, 264, 114, 792 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 622, 346, 287
• GCD of 447, 890, 768, 459
• GCD of 704, 824, 902, 185
• GCD of 395, 768, 460, 758
• GCD of 234, 891, 862, 278

Given numbers are 488, 264, 114, 792
The greatest common divisor of numbers 488, 264, 114, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 264, 114, 792 is 2.

1. What is the GCD of 488, 264, 114, 792?

GCD of given numbers 488, 264, 114, 792 is 2

2. How to calculate the greatest common divisor of 488, 264, 114, 792?

We can find the highest common divisor of 488, 264, 114, 792 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 488, 264, 114, 792 i.e 2.

3. How can I use the GCD of 488, 264, 114, 792Calculator?

Out the numbers 488, 264, 114, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.