GCD of 68, 38, 24 Calculator

Given Input numbers are 68, 38, 24

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

Divisors of 68 :

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

1, 2, 4, 17, 34, 68

Divisors of 38 :

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

1, 2, 19, 38

Divisors of 24 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (68, 38, 24) = 2.

Given numbers are 68, 38, 24

The list of prime factors of all numbers are

Prime factors of 68 are 2 x 2 x 17

Prime factors of 38 are 2 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 68, 38, 24 is 2.

Given numbers are 68, 38, 24

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

Apply this formula for all numbers.

Step1:

LCM(68, 38) = 1292

GCD(68, 38) = ( 68 x 38 ) / 1292

= 68 / 38

= 68

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

So, Greatest Common Divisor of 68, 38, 24 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 24, 63
• GCD of 31, 70, 49
• GCD of 82, 17, 82
• GCD of 58, 66, 19
• GCD of 45, 28, 64

Given numbers are 68, 38, 24
The greatest common divisor of numbers 68, 38, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 68, 38, 24 is 2.

1. What is the GCD of 68, 38, 24?

GCD of given numbers 68, 38, 24 is 2

2. How to calculate the greatest common divisor of 68, 38, 24?

We can find the highest common divisor of 68, 38, 24 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 68, 38, 24 i.e 2.

3. How can I use the GCD of 68, 38, 24Calculator?

Out the numbers 68, 38, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.