GCD of 30, 48, 90, 49 Calculator

Given Input numbers are 30, 48, 90, 49

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

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 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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 30, 48, 90, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 48, 90, 49 is 1.

Therefore, GCD of numbers 30, 48, 90, 49 is 1

Given Input Data is 30, 48, 90, 49

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

Prime Factorization of 30 is 2 x 3 x 5

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 49 is 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(30, 48) = 240

GCD(30, 48) = ( 30 x 48 ) / 240

GCD(30, 48) = 1440 / 240

GCD(30, 48) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 90

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

LCM(6, 90) = 90

GCD(6, 90) = ( 6 x 90 ) / 90

GCD(6, 90) = 540 / 90

GCD(6, 90) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 49

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

LCM(6, 49) = 294

GCD(6, 49) = ( 6 x 49 ) / 294

GCD(6, 49) = 294 / 294

GCD(6, 49) = 1

GCD of 30, 48, 90, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 29, 31, 94
• GCD of 68, 35, 15, 36
• GCD of 74, 74, 23, 39
• GCD of 92, 65, 83, 43
• GCD of 27, 98, 42, 10

1. What is the GCD of 30, 48, 90, 49?

GCD of 30, 48, 90, 49 is 1

2. Where do I get the detailed procedure to find GCD of 30, 48, 90, 49?

You can find a detailed procedure to find GCD of 30, 48, 90, 49 on our page.

3. How to find GCD of 30, 48, 90, 49 on a calculator?

You can find the GCD of 30, 48, 90, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.