GCD of 48, 54, 30, 62 Calculator

Given Input numbers are 48, 54, 30, 62

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

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Greatest Common Divisior

We found the divisors of 48, 54, 30, 62 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 54, 30, 62 is 2.

Therefore, GCD of numbers 48, 54, 30, 62 is 2

Given Input Data is 48, 54, 30, 62

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

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 62 is 2 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(48, 54) = 432

GCD(48, 54) = ( 48 x 54 ) / 432

GCD(48, 54) = 2592 / 432

GCD(48, 54) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 30

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

LCM(6, 30) = 30

GCD(6, 30) = ( 6 x 30 ) / 30

GCD(6, 30) = 180 / 30

GCD(6, 30) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 62

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

LCM(6, 62) = 186

GCD(6, 62) = ( 6 x 62 ) / 186

GCD(6, 62) = 372 / 186

GCD(6, 62) = 2

GCD of 48, 54, 30, 62 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 85, 57, 57
• GCD of 34, 60, 96, 91
• GCD of 31, 95, 10, 87
• GCD of 37, 31, 46, 67
• GCD of 52, 41, 70, 63

1. What is the GCD of 48, 54, 30, 62?

GCD of 48, 54, 30, 62 is 2

2. Where do I get the detailed procedure to find GCD of 48, 54, 30, 62?

You can find a detailed procedure to find GCD of 48, 54, 30, 62 on our page.

3. How to find GCD of 48, 54, 30, 62 on a calculator?

You can find the GCD of 48, 54, 30, 62 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.