GCD of 171, 990, 705, 318 Calculator

Given Input numbers are 171, 990, 705, 318

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (171, 990, 705, 318) = 3.

Given numbers are 171, 990, 705, 318

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 705 are 3 x 5 x 47

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 171, 990, 705, 318 is 3.

Given numbers are 171, 990, 705, 318

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

Apply this formula for all numbers.

Step1:

LCM(171, 990) = 18810

GCD(171, 990) = ( 171 x 990 ) / 18810

= 171 / 990

= 171

Step2:

LCM(9, 705) = 2115

GCD(9, 705) = ( 9 x 705 ) / 2115

= 9 / 705

= 9

Step3:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

So, Greatest Common Divisor of 171, 990, 705, 318 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 211, 650, 290
• GCD of 793, 792, 865, 613
• GCD of 200, 678, 763, 766
• GCD of 663, 259, 540, 283
• GCD of 102, 376, 174, 744

Given numbers are 171, 990, 705, 318
The greatest common divisor of numbers 171, 990, 705, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 990, 705, 318 is 3.

1. What is the GCD of 171, 990, 705, 318?

GCD of given numbers 171, 990, 705, 318 is 3

2. How to calculate the greatest common divisor of 171, 990, 705, 318?

We can find the highest common divisor of 171, 990, 705, 318 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 171, 990, 705, 318 i.e 3.

3. How can I use the GCD of 171, 990, 705, 318Calculator?

Out the numbers 171, 990, 705, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.