GCD of 312, 274, 304, 542 Calculator

Given Input numbers are 312, 274, 304, 542

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (312, 274, 304, 542) = 2.

Given numbers are 312, 274, 304, 542

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 274 are 2 x 137

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 312, 274, 304, 542 is 2.

Given numbers are 312, 274, 304, 542

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

Apply this formula for all numbers.

Step1:

LCM(312, 274) = 42744

GCD(312, 274) = ( 312 x 274 ) / 42744

= 312 / 274

= 312

Step2:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

So, Greatest Common Divisor of 312, 274, 304, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 906, 317, 961
• GCD of 764, 629, 269, 682
• GCD of 469, 995, 885, 830
• GCD of 930, 822, 678, 731
• GCD of 116, 959, 403, 159

Given numbers are 312, 274, 304, 542
The greatest common divisor of numbers 312, 274, 304, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 274, 304, 542 is 2.

1. What is the GCD of 312, 274, 304, 542?

GCD of given numbers 312, 274, 304, 542 is 2

2. How to calculate the greatest common divisor of 312, 274, 304, 542?

We can find the highest common divisor of 312, 274, 304, 542 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, 274, 304, 542 i.e 2.

3. How can I use the GCD of 312, 274, 304, 542Calculator?

Out the numbers 312, 274, 304, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.