GCD of 368, 294, 664, 174 Calculator

Given Input numbers are 368, 294, 664, 174

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

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 (368, 294, 664, 174) = 2.

Given numbers are 368, 294, 664, 174

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 368, 294, 664, 174 is 2.

Given numbers are 368, 294, 664, 174

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

Apply this formula for all numbers.

Step1:

LCM(368, 294) = 54096

GCD(368, 294) = ( 368 x 294 ) / 54096

= 368 / 294

= 368

Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

So, Greatest Common Divisor of 368, 294, 664, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 784, 182, 859
• GCD of 379, 491, 117, 252
• GCD of 234, 368, 977, 406
• GCD of 301, 426, 462, 281
• GCD of 574, 859, 265, 361

Given numbers are 368, 294, 664, 174
The greatest common divisor of numbers 368, 294, 664, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 294, 664, 174 is 2.

1. What is the GCD of 368, 294, 664, 174?

GCD of given numbers 368, 294, 664, 174 is 2

2. How to calculate the greatest common divisor of 368, 294, 664, 174?

We can find the highest common divisor of 368, 294, 664, 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 368, 294, 664, 174 i.e 2.

3. How can I use the GCD of 368, 294, 664, 174Calculator?

Out the numbers 368, 294, 664, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.