GCD of 172, 216, 470 Calculator

Given Input numbers are 172, 216, 470

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (172, 216, 470) = 2.

Given numbers are 172, 216, 470

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 172, 216, 470 is 2.

Given numbers are 172, 216, 470

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

Apply this formula for all numbers.

Step1:

LCM(172, 216) = 9288

GCD(172, 216) = ( 172 x 216 ) / 9288

= 172 / 216

= 172

Step2:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4

So, Greatest Common Divisor of 172, 216, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 964, 680
• GCD of 722, 155, 393
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• GCD of 816, 672, 102
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Given numbers are 172, 216, 470
The greatest common divisor of numbers 172, 216, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 216, 470 is 2.

1. What is the GCD of 172, 216, 470?

GCD of given numbers 172, 216, 470 is 2

2. How to calculate the greatest common divisor of 172, 216, 470?

We can find the highest common divisor of 172, 216, 470 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 172, 216, 470 i.e 2.

3. How can I use the GCD of 172, 216, 470Calculator?

Out the numbers 172, 216, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.