GCD of 64, 12, 54, 96 Calculator

Given Input numbers are 64, 12, 54, 96

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

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 12 :

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

1, 2, 3, 4, 6, 12

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

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

GCD of numbers is the greatest common divisor

So, the GCD (64, 12, 54, 96) = 2.

Given numbers are 64, 12, 54, 96

The list of prime factors of all numbers are

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 12 are 2 x 2 x 3

Prime factors of 54 are 2 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 64, 12, 54, 96 is 2.

Given numbers are 64, 12, 54, 96

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

Apply this formula for all numbers.

Step1:

LCM(64, 12) = 192

GCD(64, 12) = ( 64 x 12 ) / 192

= 64 / 12

= 64

Step2:

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

= 4 / 54

= 4

Step3:

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

= 2 / 96

= 2

So, Greatest Common Divisor of 64, 12, 54, 96 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 48, 73, 82
• GCD of 48, 94, 14, 24
• GCD of 96, 35, 99, 94
• GCD of 69, 20, 32, 64
• GCD of 95, 51, 78, 99

Given numbers are 64, 12, 54, 96
The greatest common divisor of numbers 64, 12, 54, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 64, 12, 54, 96 is 2.

1. What is the GCD of 64, 12, 54, 96?

GCD of given numbers 64, 12, 54, 96 is 2

2. How to calculate the greatest common divisor of 64, 12, 54, 96?

We can find the highest common divisor of 64, 12, 54, 96 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 64, 12, 54, 96 i.e 2.

3. How can I use the GCD of 64, 12, 54, 96Calculator?

Out the numbers 64, 12, 54, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.