GCD of 78, 24, 28, 64 Calculator

Given Input numbers are 78, 24, 28, 64

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

Divisors of 78 :

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

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

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 64 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (78, 24, 28, 64) = 2.

Given numbers are 78, 24, 28, 64

The list of prime factors of all numbers are

Prime factors of 78 are 2 x 3 x 13

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 28 are 2 x 2 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 78, 24, 28, 64 is 2.

Given numbers are 78, 24, 28, 64

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

Apply this formula for all numbers.

Step1:

LCM(78, 24) = 312

GCD(78, 24) = ( 78 x 24 ) / 312

= 78 / 24

= 78

Step2:

LCM(6, 28) = 84

GCD(6, 28) = ( 6 x 28 ) / 84

= 6 / 28

= 6

Step3:

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

= 2 / 64

= 2

So, Greatest Common Divisor of 78, 24, 28, 64 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 85, 22, 93
• GCD of 41, 26, 12, 51
• GCD of 55, 52, 91, 14
• GCD of 79, 97, 64, 46
• GCD of 50, 28, 84, 55

Given numbers are 78, 24, 28, 64
The greatest common divisor of numbers 78, 24, 28, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 78, 24, 28, 64 is 2.

1. What is the GCD of 78, 24, 28, 64?

GCD of given numbers 78, 24, 28, 64 is 2

2. How to calculate the greatest common divisor of 78, 24, 28, 64?

We can find the highest common divisor of 78, 24, 28, 64 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 78, 24, 28, 64 i.e 2.

3. How can I use the GCD of 78, 24, 28, 64Calculator?

Out the numbers 78, 24, 28, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.