GCD of 68, 96, 76, 24 Calculator

Given Input numbers are 68, 96, 76, 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 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 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

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, 96, 76, 24) = 4.

Given numbers are 68, 96, 76, 24

The list of prime factors of all numbers are

Prime factors of 68 are 2 x 2 x 17

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

Prime factors of 76 are 2 x 2 x 19

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

The highest common occurrence is 2²

Therefore, GCD of 68, 96, 76, 24 is 4.

Given numbers are 68, 96, 76, 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, 96) = 1632

GCD(68, 96) = ( 68 x 96 ) / 1632

= 68 / 96

= 68

Step2:

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

= 4 / 76

= 4

Step3:

LCM(4, 24) = 24

GCD(4, 24) = ( 4 x 24 ) / 24

= 4 / 24

= 4

So, Greatest Common Divisor of 68, 96, 76, 24 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 12, 58, 69
• GCD of 99, 48, 27, 83
• GCD of 89, 43, 89, 93
• GCD of 45, 95, 12, 68
• GCD of 46, 68, 47, 29

Given numbers are 68, 96, 76, 24
The greatest common divisor of numbers 68, 96, 76, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 68, 96, 76, 24 is 4.

1. What is the GCD of 68, 96, 76, 24?

GCD of given numbers 68, 96, 76, 24 is 4

2. How to calculate the greatest common divisor of 68, 96, 76, 24?

We can find the highest common divisor of 68, 96, 76, 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, 96, 76, 24 i.e 4.

3. How can I use the GCD of 68, 96, 76, 24Calculator?

Out the numbers 68, 96, 76, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.