GCD of 60, 60, 18, 48 Calculator

Given Input numbers are 60, 60, 18, 48

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

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

Greatest Common Divisior

We found the divisors of 60, 60, 18, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 60, 18, 48 is 6.

Therefore, GCD of numbers 60, 60, 18, 48 is 6

Given Input Data is 60, 60, 18, 48

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

Step1:

Let's calculate the GCD of first two numbers

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

LCM(60, 60) = 60

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

GCD(60, 60) = 3600 / 60

GCD(60, 60) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 18

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

LCM(60, 18) = 180

GCD(60, 18) = ( 60 x 18 ) / 180

GCD(60, 18) = 1080 / 180

GCD(60, 18) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 48

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

LCM(6, 48) = 48

GCD(6, 48) = ( 6 x 48 ) / 48

GCD(6, 48) = 288 / 48

GCD(6, 48) = 6

GCD of 60, 60, 18, 48 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 43, 41, 58
• GCD of 56, 40, 14, 40
• GCD of 38, 75, 42, 63
• GCD of 17, 68, 39, 38
• GCD of 90, 52, 38, 80

1. What is the GCD of 60, 60, 18, 48?

GCD of 60, 60, 18, 48 is 6

2. Where do I get the detailed procedure to find GCD of 60, 60, 18, 48?

You can find a detailed procedure to find GCD of 60, 60, 18, 48 on our page.

3. How to find GCD of 60, 60, 18, 48 on a calculator?

You can find the GCD of 60, 60, 18, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.