GCD of 8, 72, 48 Calculator

Given Input numbers are 8, 72, 48

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

Divisors of 8 :

The positive integer divisors of 8 that completely divides 8 are.

1, 2, 4, 8

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 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

GCD of numbers is the greatest common divisor

So, the GCD (8, 72, 48) = 8.

Given numbers are 8, 72, 48

The list of prime factors of all numbers are

Prime factors of 8 are 2 x 2 x 2

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

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2³

Therefore, GCD of 8, 72, 48 is 8.

Given numbers are 8, 72, 48

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

Apply this formula for all numbers.

Step1:

LCM(8, 72) = 72

GCD(8, 72) = ( 8 x 72 ) / 72

= 8 / 72

= 8

Step2:

LCM(8, 48) = 48

GCD(8, 48) = ( 8 x 48 ) / 48

= 8 / 48

= 8

So, Greatest Common Divisor of 8, 72, 48 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 3, 20, 31
• GCD of 1, 44, 15
• GCD of 2, 48, 68
• GCD of 8, 27, 95
• GCD of 1, 88, 84

Given numbers are 8, 72, 48
The greatest common divisor of numbers 8, 72, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 8, 72, 48 is 8.

1. What is the GCD of 8, 72, 48?

GCD of given numbers 8, 72, 48 is 8

2. How to calculate the greatest common divisor of 8, 72, 48?

We can find the highest common divisor of 8, 72, 48 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 8, 72, 48 i.e 8.

3. How can I use the GCD of 8, 72, 48Calculator?

Out the numbers 8, 72, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.