GCD of 324, 870, 658, 172 Calculator

Given Input numbers are 324, 870, 658, 172

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

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 (324, 870, 658, 172) = 2.

Given numbers are 324, 870, 658, 172

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 658 are 2 x 7 x 47

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 324, 870, 658, 172 is 2.

Given numbers are 324, 870, 658, 172

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

Apply this formula for all numbers.

Step1:

LCM(324, 870) = 46980

GCD(324, 870) = ( 324 x 870 ) / 46980

= 324 / 870

= 324

Step2:

LCM(6, 658) = 1974

GCD(6, 658) = ( 6 x 658 ) / 1974

= 6 / 658

= 6

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 324, 870, 658, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 295, 192, 806
• GCD of 676, 511, 487, 384
• GCD of 171, 297, 211, 640
• GCD of 232, 989, 474, 138
• GCD of 348, 243, 232, 610

Given numbers are 324, 870, 658, 172
The greatest common divisor of numbers 324, 870, 658, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 870, 658, 172 is 2.

1. What is the GCD of 324, 870, 658, 172?

GCD of given numbers 324, 870, 658, 172 is 2

2. How to calculate the greatest common divisor of 324, 870, 658, 172?

We can find the highest common divisor of 324, 870, 658, 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 324, 870, 658, 172 i.e 2.

3. How can I use the GCD of 324, 870, 658, 172Calculator?

Out the numbers 324, 870, 658, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.