GCD of 312, 738, 908, 254 Calculator

Given Input numbers are 312, 738, 908, 254

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

GCD of numbers is the greatest common divisor

So, the GCD (312, 738, 908, 254) = 2.

Given numbers are 312, 738, 908, 254

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 908 are 2 x 2 x 227

Prime factors of 254 are 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 312, 738, 908, 254 is 2.

Given numbers are 312, 738, 908, 254

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

Apply this formula for all numbers.

Step1:

LCM(312, 738) = 38376

GCD(312, 738) = ( 312 x 738 ) / 38376

= 312 / 738

= 312

Step2:

LCM(6, 908) = 2724

GCD(6, 908) = ( 6 x 908 ) / 2724

= 6 / 908

= 6

Step3:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

So, Greatest Common Divisor of 312, 738, 908, 254 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 443, 442, 908
• GCD of 311, 367, 313, 377
• GCD of 242, 302, 203, 563
• GCD of 607, 506, 146, 816
• GCD of 799, 734, 235, 723

Given numbers are 312, 738, 908, 254
The greatest common divisor of numbers 312, 738, 908, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 738, 908, 254 is 2.

1. What is the GCD of 312, 738, 908, 254?

GCD of given numbers 312, 738, 908, 254 is 2

2. How to calculate the greatest common divisor of 312, 738, 908, 254?

We can find the highest common divisor of 312, 738, 908, 254 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 312, 738, 908, 254 i.e 2.

3. How can I use the GCD of 312, 738, 908, 254Calculator?

Out the numbers 312, 738, 908, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.