GCD of 564, 872, 172 Calculator

Given Input numbers are 564, 872, 172

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 872 :

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

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (564, 872, 172) = 4.

Given numbers are 564, 872, 172

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

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

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 564, 872, 172 is 4.

Given numbers are 564, 872, 172

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

Apply this formula for all numbers.

Step1:

LCM(564, 872) = 122952

GCD(564, 872) = ( 564 x 872 ) / 122952

= 564 / 872

= 564

Step2:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

So, Greatest Common Divisor of 564, 872, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 628, 136
• GCD of 649, 328, 696
• GCD of 733, 528, 647
• GCD of 499, 867, 935
• GCD of 426, 252, 375

Given numbers are 564, 872, 172
The greatest common divisor of numbers 564, 872, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 872, 172 is 4.

1. What is the GCD of 564, 872, 172?

GCD of given numbers 564, 872, 172 is 4

2. How to calculate the greatest common divisor of 564, 872, 172?

We can find the highest common divisor of 564, 872, 172 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 564, 872, 172 i.e 4.

3. How can I use the GCD of 564, 872, 172Calculator?

Out the numbers 564, 872, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.