GCD of 72, 27, 63, 15 Calculator

Given Input numbers are 72, 27, 63, 15

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

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 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

GCD of numbers is the greatest common divisor

So, the GCD (72, 27, 63, 15) = 3.

Given numbers are 72, 27, 63, 15

The list of prime factors of all numbers are

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

Prime factors of 27 are 3 x 3 x 3

Prime factors of 63 are 3 x 3 x 7

Prime factors of 15 are 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 72, 27, 63, 15 is 3.

Given numbers are 72, 27, 63, 15

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

Apply this formula for all numbers.

Step1:

LCM(72, 27) = 216

GCD(72, 27) = ( 72 x 27 ) / 216

= 72 / 27

= 72

Step2:

LCM(9, 63) = 63

GCD(9, 63) = ( 9 x 63 ) / 63

= 9 / 63

= 9

Step3:

LCM(9, 15) = 45

GCD(9, 15) = ( 9 x 15 ) / 45

= 9 / 15

= 9

So, Greatest Common Divisor of 72, 27, 63, 15 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 25, 21, 56
• GCD of 69, 66, 53, 70
• GCD of 15, 73, 58, 81
• GCD of 65, 12, 47, 40
• GCD of 21, 12, 47, 93

Given numbers are 72, 27, 63, 15
The greatest common divisor of numbers 72, 27, 63, 15 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 72, 27, 63, 15 is 3.

1. What is the GCD of 72, 27, 63, 15?

GCD of given numbers 72, 27, 63, 15 is 3

2. How to calculate the greatest common divisor of 72, 27, 63, 15?

We can find the highest common divisor of 72, 27, 63, 15 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 72, 27, 63, 15 i.e 3.

3. How can I use the GCD of 72, 27, 63, 15Calculator?

Out the numbers 72, 27, 63, 15 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.