GCD of 96, 72, 60, 30 Calculator

Given Input numbers are 96, 72, 60, 30

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

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 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

GCD of numbers is the greatest common divisor

So, the GCD (96, 72, 60, 30) = 6.

Given numbers are 96, 72, 60, 30

The list of prime factors of all numbers are

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

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 30 are 2 x 3 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 96, 72, 60, 30 is 6.

Given numbers are 96, 72, 60, 30

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

Apply this formula for all numbers.

Step1:

LCM(96, 72) = 288

GCD(96, 72) = ( 96 x 72 ) / 288

= 96 / 72

= 96

Step2:

LCM(24, 60) = 120

GCD(24, 60) = ( 24 x 60 ) / 120

= 24 / 60

= 24

Step3:

LCM(12, 30) = 60

GCD(12, 30) = ( 12 x 30 ) / 60

= 12 / 30

= 12

So, Greatest Common Divisor of 96, 72, 60, 30 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 38, 17, 18
• GCD of 52, 18, 96, 87
• GCD of 65, 50, 63, 29
• GCD of 79, 56, 63, 85
• GCD of 50, 46, 43, 75

Given numbers are 96, 72, 60, 30
The greatest common divisor of numbers 96, 72, 60, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 96, 72, 60, 30 is 6.

1. What is the GCD of 96, 72, 60, 30?

GCD of given numbers 96, 72, 60, 30 is 6

2. How to calculate the greatest common divisor of 96, 72, 60, 30?

We can find the highest common divisor of 96, 72, 60, 30 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 96, 72, 60, 30 i.e 6.

3. How can I use the GCD of 96, 72, 60, 30Calculator?

Out the numbers 96, 72, 60, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.