GCD of 872, 272, 16 Calculator

Given Input numbers are 872, 272, 16

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

GCD of numbers is the greatest common divisor

So, the GCD (872, 272, 16) = 8.

Given numbers are 872, 272, 16

The list of prime factors of all numbers are

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

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 16 are 2 x 2 x 2 x 2

The highest common occurrence is 2³

Therefore, GCD of 872, 272, 16 is 8.

Given numbers are 872, 272, 16

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

Apply this formula for all numbers.

Step1:

LCM(872, 272) = 29648

GCD(872, 272) = ( 872 x 272 ) / 29648

= 872 / 272

= 872

Step2:

LCM(8, 16) = 16

GCD(8, 16) = ( 8 x 16 ) / 16

= 8 / 16

= 8

So, Greatest Common Divisor of 872, 272, 16 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 686, 73
• GCD of 457, 234, 67
• GCD of 582, 158, 22
• GCD of 866, 602, 64
• GCD of 986, 757, 89

Given numbers are 872, 272, 16
The greatest common divisor of numbers 872, 272, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 272, 16 is 8.

1. What is the GCD of 872, 272, 16?

GCD of given numbers 872, 272, 16 is 8

2. How to calculate the greatest common divisor of 872, 272, 16?

We can find the highest common divisor of 872, 272, 16 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, 272, 16 i.e 8.

3. How can I use the GCD of 872, 272, 16Calculator?

Out the numbers 872, 272, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.