GCD of 174, 696, 549, 336 Calculator

Given Input numbers are 174, 696, 549, 336

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

Divisors of 174 :

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

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (174, 696, 549, 336) = 3.

Given numbers are 174, 696, 549, 336

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 549 are 3 x 3 x 61

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 174, 696, 549, 336 is 3.

Given numbers are 174, 696, 549, 336

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

Apply this formula for all numbers.

Step1:

LCM(174, 696) = 696

GCD(174, 696) = ( 174 x 696 ) / 696

= 174 / 696

= 174

Step2:

LCM(174, 549) = 31842

GCD(174, 549) = ( 174 x 549 ) / 31842

= 174 / 549

= 174

Step3:

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

= 3 / 336

= 3

So, Greatest Common Divisor of 174, 696, 549, 336 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 142, 671, 915
• GCD of 157, 417, 455, 858
• GCD of 243, 191, 213, 987
• GCD of 134, 996, 303, 778
• GCD of 574, 348, 697, 869

Given numbers are 174, 696, 549, 336
The greatest common divisor of numbers 174, 696, 549, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 696, 549, 336 is 3.

1. What is the GCD of 174, 696, 549, 336?

GCD of given numbers 174, 696, 549, 336 is 3

2. How to calculate the greatest common divisor of 174, 696, 549, 336?

We can find the highest common divisor of 174, 696, 549, 336 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 174, 696, 549, 336 i.e 3.

3. How can I use the GCD of 174, 696, 549, 336Calculator?

Out the numbers 174, 696, 549, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.