GCD of 462, 378, 382, 516 Calculator

Given Input numbers are 462, 378, 382, 516

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 382 :

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

1, 2, 191, 382

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (462, 378, 382, 516) = 2.

Given numbers are 462, 378, 382, 516

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 382 are 2 x 191

Prime factors of 516 are 2 x 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 462, 378, 382, 516 is 2.

Given numbers are 462, 378, 382, 516

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

Apply this formula for all numbers.

Step1:

LCM(462, 378) = 4158

GCD(462, 378) = ( 462 x 378 ) / 4158

= 462 / 378

= 462

Step2:

LCM(42, 382) = 8022

GCD(42, 382) = ( 42 x 382 ) / 8022

= 42 / 382

= 42

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 462, 378, 382, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 586, 596, 982
• GCD of 432, 614, 730, 885
• GCD of 592, 317, 700, 120
• GCD of 172, 911, 787, 264
• GCD of 418, 861, 907, 339

Given numbers are 462, 378, 382, 516
The greatest common divisor of numbers 462, 378, 382, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 378, 382, 516 is 2.

1. What is the GCD of 462, 378, 382, 516?

GCD of given numbers 462, 378, 382, 516 is 2

2. How to calculate the greatest common divisor of 462, 378, 382, 516?

We can find the highest common divisor of 462, 378, 382, 516 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 462, 378, 382, 516 i.e 2.

3. How can I use the GCD of 462, 378, 382, 516Calculator?

Out the numbers 462, 378, 382, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.