GCD of 24, 32, 68 Calculator

Given Input numbers are 24, 32, 68

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

Divisors of 24 :

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

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

Divisors of 32 :

The positive integer divisors of 32 that completely divides 32 are.

1, 2, 4, 8, 16, 32

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

GCD of numbers is the greatest common divisor

So, the GCD (24, 32, 68) = 4.

Given numbers are 24, 32, 68

The list of prime factors of all numbers are

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

Prime factors of 32 are 2 x 2 x 2 x 2 x 2

Prime factors of 68 are 2 x 2 x 17

The highest common occurrence is 2²

Therefore, GCD of 24, 32, 68 is 4.

Given numbers are 24, 32, 68

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

Apply this formula for all numbers.

Step1:

LCM(24, 32) = 96

GCD(24, 32) = ( 24 x 32 ) / 96

= 24 / 32

= 24

Step2:

LCM(8, 68) = 136

GCD(8, 68) = ( 8 x 68 ) / 136

= 8 / 68

= 8

So, Greatest Common Divisor of 24, 32, 68 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 73, 42
• GCD of 86, 71, 82
• GCD of 58, 77, 77
• GCD of 69, 59, 67
• GCD of 32, 16, 76

Given numbers are 24, 32, 68
The greatest common divisor of numbers 24, 32, 68 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 24, 32, 68 is 4.

1. What is the GCD of 24, 32, 68?

GCD of given numbers 24, 32, 68 is 4

2. How to calculate the greatest common divisor of 24, 32, 68?

We can find the highest common divisor of 24, 32, 68 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 24, 32, 68 i.e 4.

3. How can I use the GCD of 24, 32, 68Calculator?

Out the numbers 24, 32, 68 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.