GCD of 872, 488, 30 Calculator

Given Input numbers are 872, 488, 30

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 488 :

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

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

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

GCD of numbers is the greatest common divisor

So, the GCD (872, 488, 30) = 2.

Given numbers are 872, 488, 30

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

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

Prime factors of 30 are 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 872, 488, 30 is 2.

Given numbers are 872, 488, 30

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

Apply this formula for all numbers.

Step1:

LCM(872, 488) = 53192

GCD(872, 488) = ( 872 x 488 ) / 53192

= 872 / 488

= 872

Step2:

LCM(8, 30) = 120

GCD(8, 30) = ( 8 x 30 ) / 120

= 8 / 30

= 8

So, Greatest Common Divisor of 872, 488, 30 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 753, 38
• GCD of 367, 584, 84
• GCD of 869, 841, 72
• GCD of 120, 798, 18
• GCD of 567, 442, 95

Given numbers are 872, 488, 30
The greatest common divisor of numbers 872, 488, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 488, 30 is 2.

1. What is the GCD of 872, 488, 30?

GCD of given numbers 872, 488, 30 is 2

2. How to calculate the greatest common divisor of 872, 488, 30?

We can find the highest common divisor of 872, 488, 30 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 872, 488, 30 i.e 2.

3. How can I use the GCD of 872, 488, 30Calculator?

Out the numbers 872, 488, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.