GCD of 36, 96, 38, 78 Calculator

Given Input numbers are 36, 96, 38, 78

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

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 38 :

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

1, 2, 19, 38

Divisors of 78 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (36, 96, 38, 78) = 2.

Given numbers are 36, 96, 38, 78

The list of prime factors of all numbers are

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 38 are 2 x 19

Prime factors of 78 are 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 36, 96, 38, 78 is 2.

Given numbers are 36, 96, 38, 78

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

Apply this formula for all numbers.

Step1:

LCM(36, 96) = 288

GCD(36, 96) = ( 36 x 96 ) / 288

= 36 / 96

= 36

Step2:

LCM(12, 38) = 228

GCD(12, 38) = ( 12 x 38 ) / 228

= 12 / 38

= 12

Step3:

LCM(2, 78) = 78

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

= 2 / 78

= 2

So, Greatest Common Divisor of 36, 96, 38, 78 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 71, 11, 51
• GCD of 68, 42, 56, 51
• GCD of 34, 56, 86, 78
• GCD of 23, 13, 30, 17
• GCD of 23, 92, 29, 42

Given numbers are 36, 96, 38, 78
The greatest common divisor of numbers 36, 96, 38, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 36, 96, 38, 78 is 2.

1. What is the GCD of 36, 96, 38, 78?

GCD of given numbers 36, 96, 38, 78 is 2

2. How to calculate the greatest common divisor of 36, 96, 38, 78?

We can find the highest common divisor of 36, 96, 38, 78 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 36, 96, 38, 78 i.e 2.

3. How can I use the GCD of 36, 96, 38, 78Calculator?

Out the numbers 36, 96, 38, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.