GCD of 82, 12, 78, 38 Calculator

Given Input numbers are 82, 12, 78, 38

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

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

GCD of numbers is the greatest common divisor

So, the GCD (82, 12, 78, 38) = 2.

Given numbers are 82, 12, 78, 38

The list of prime factors of all numbers are

Prime factors of 82 are 2 x 41

Prime factors of 12 are 2 x 2 x 3

Prime factors of 78 are 2 x 3 x 13

Prime factors of 38 are 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 82, 12, 78, 38 is 2.

Given numbers are 82, 12, 78, 38

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

Apply this formula for all numbers.

Step1:

LCM(82, 12) = 492

GCD(82, 12) = ( 82 x 12 ) / 492

= 82 / 12

= 82

Step2:

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

= 2 / 78

= 2

Step3:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

So, Greatest Common Divisor of 82, 12, 78, 38 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 55, 47, 84
• GCD of 33, 18, 92, 18
• GCD of 66, 28, 86, 52
• GCD of 97, 69, 27, 79
• GCD of 89, 46, 27, 80

Given numbers are 82, 12, 78, 38
The greatest common divisor of numbers 82, 12, 78, 38 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 82, 12, 78, 38 is 2.

1. What is the GCD of 82, 12, 78, 38?

GCD of given numbers 82, 12, 78, 38 is 2

2. How to calculate the greatest common divisor of 82, 12, 78, 38?

We can find the highest common divisor of 82, 12, 78, 38 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 82, 12, 78, 38 i.e 2.

3. How can I use the GCD of 82, 12, 78, 38Calculator?

Out the numbers 82, 12, 78, 38 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.