GCD of 308, 238, 174, 608 Calculator

Given Input numbers are 308, 238, 174, 608

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 174 :

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

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

GCD of numbers is the greatest common divisor

So, the GCD (308, 238, 174, 608) = 2.

Given numbers are 308, 238, 174, 608

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 238 are 2 x 7 x 17

Prime factors of 174 are 2 x 3 x 29

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 308, 238, 174, 608 is 2.

Given numbers are 308, 238, 174, 608

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

Apply this formula for all numbers.

Step1:

LCM(308, 238) = 5236

GCD(308, 238) = ( 308 x 238 ) / 5236

= 308 / 238

= 308

Step2:

LCM(14, 174) = 1218

GCD(14, 174) = ( 14 x 174 ) / 1218

= 14 / 174

= 14

Step3:

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

= 2 / 608

= 2

So, Greatest Common Divisor of 308, 238, 174, 608 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 272, 641, 658
• GCD of 516, 441, 333, 682
• GCD of 768, 976, 434, 714
• GCD of 642, 396, 316, 159
• GCD of 349, 900, 999, 313

Given numbers are 308, 238, 174, 608
The greatest common divisor of numbers 308, 238, 174, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 238, 174, 608 is 2.

1. What is the GCD of 308, 238, 174, 608?

GCD of given numbers 308, 238, 174, 608 is 2

2. How to calculate the greatest common divisor of 308, 238, 174, 608?

We can find the highest common divisor of 308, 238, 174, 608 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 308, 238, 174, 608 i.e 2.

3. How can I use the GCD of 308, 238, 174, 608Calculator?

Out the numbers 308, 238, 174, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.