GCD of 60, 12, 24, 32 Calculator

Given Input numbers are 60, 12, 24, 32

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

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 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

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

GCD of numbers is the greatest common divisor

So, the GCD (60, 12, 24, 32) = 4.

Given numbers are 60, 12, 24, 32

The list of prime factors of all numbers are

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

Prime factors of 12 are 2 x 2 x 3

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

The highest common occurrence is 2²

Therefore, GCD of 60, 12, 24, 32 is 4.

Given numbers are 60, 12, 24, 32

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

Apply this formula for all numbers.

Step1:

LCM(60, 12) = 60

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

= 60 / 12

= 60

Step2:

LCM(12, 24) = 24

GCD(12, 24) = ( 12 x 24 ) / 24

= 12 / 24

= 12

Step3:

LCM(12, 32) = 96

GCD(12, 32) = ( 12 x 32 ) / 96

= 12 / 32

= 12

So, Greatest Common Divisor of 60, 12, 24, 32 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 35, 14, 73
• GCD of 58, 61, 56, 55
• GCD of 91, 74, 13, 58
• GCD of 43, 31, 30, 82
• GCD of 40, 56, 31, 23

Given numbers are 60, 12, 24, 32
The greatest common divisor of numbers 60, 12, 24, 32 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 60, 12, 24, 32 is 4.

1. What is the GCD of 60, 12, 24, 32?

GCD of given numbers 60, 12, 24, 32 is 4

2. How to calculate the greatest common divisor of 60, 12, 24, 32?

We can find the highest common divisor of 60, 12, 24, 32 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 60, 12, 24, 32 i.e 4.

3. How can I use the GCD of 60, 12, 24, 32Calculator?

Out the numbers 60, 12, 24, 32 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.