GCD of 168, 486, 174 Calculator

Given Input numbers are 168, 486, 174

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (168, 486, 174) = 6.

Given numbers are 168, 486, 174

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 168, 486, 174 is 6.

Given numbers are 168, 486, 174

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

Apply this formula for all numbers.

Step1:

LCM(168, 486) = 13608

GCD(168, 486) = ( 168 x 486 ) / 13608

= 168 / 486

= 168

Step2:

LCM(6, 174) = 174

GCD(6, 174) = ( 6 x 174 ) / 174

= 6 / 174

= 6

So, Greatest Common Divisor of 168, 486, 174 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 650, 817
• GCD of 482, 833, 762
• GCD of 639, 482, 911
• GCD of 271, 956, 496
• GCD of 396, 344, 631

Given numbers are 168, 486, 174
The greatest common divisor of numbers 168, 486, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 486, 174 is 6.

1. What is the GCD of 168, 486, 174?

GCD of given numbers 168, 486, 174 is 6

2. How to calculate the greatest common divisor of 168, 486, 174?

We can find the highest common divisor of 168, 486, 174 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 168, 486, 174 i.e 6.

3. How can I use the GCD of 168, 486, 174Calculator?

Out the numbers 168, 486, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.