GCD of 60, 24, 96, 64 Calculator

Given Input numbers are 60, 24, 96, 64

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 24 :

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

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

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 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

GCD of numbers is the greatest common divisor

So, the GCD (60, 24, 96, 64) = 4.

Given numbers are 60, 24, 96, 64

The list of prime factors of all numbers are

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

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

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

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2²

Therefore, GCD of 60, 24, 96, 64 is 4.

Given numbers are 60, 24, 96, 64

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

Apply this formula for all numbers.

Step1:

LCM(60, 24) = 120

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

= 60 / 24

= 60

Step2:

LCM(12, 96) = 96

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

= 12 / 96

= 12

Step3:

LCM(12, 64) = 192

GCD(12, 64) = ( 12 x 64 ) / 192

= 12 / 64

= 12

So, Greatest Common Divisor of 60, 24, 96, 64 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 92, 56, 35
• GCD of 98, 55, 54, 95
• GCD of 18, 26, 98, 16
• GCD of 62, 88, 89, 87
• GCD of 16, 78, 45, 16

Given numbers are 60, 24, 96, 64
The greatest common divisor of numbers 60, 24, 96, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 60, 24, 96, 64 is 4.

1. What is the GCD of 60, 24, 96, 64?

GCD of given numbers 60, 24, 96, 64 is 4

2. How to calculate the greatest common divisor of 60, 24, 96, 64?

We can find the highest common divisor of 60, 24, 96, 64 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, 24, 96, 64 i.e 4.

3. How can I use the GCD of 60, 24, 96, 64Calculator?

Out the numbers 60, 24, 96, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.