GCD of 912, 506, 382, 342 Calculator

Given Input numbers are 912, 506, 382, 342

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (912, 506, 382, 342) = 2.

Given numbers are 912, 506, 382, 342

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 506 are 2 x 11 x 23

Prime factors of 382 are 2 x 191

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 912, 506, 382, 342 is 2.

Given numbers are 912, 506, 382, 342

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

Apply this formula for all numbers.

Step1:

LCM(912, 506) = 230736

GCD(912, 506) = ( 912 x 506 ) / 230736

= 912 / 506

= 912

Step2:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 912, 506, 382, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 585, 371, 461
• GCD of 550, 744, 685, 185
• GCD of 329, 127, 863, 726
• GCD of 594, 611, 254, 484
• GCD of 667, 972, 137, 386

Given numbers are 912, 506, 382, 342
The greatest common divisor of numbers 912, 506, 382, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 506, 382, 342 is 2.

1. What is the GCD of 912, 506, 382, 342?

GCD of given numbers 912, 506, 382, 342 is 2

2. How to calculate the greatest common divisor of 912, 506, 382, 342?

We can find the highest common divisor of 912, 506, 382, 342 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 912, 506, 382, 342 i.e 2.

3. How can I use the GCD of 912, 506, 382, 342Calculator?

Out the numbers 912, 506, 382, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.