GCD of 93, 3, 30, 42 Calculator

Given Input numbers are 93, 3, 30, 42

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

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 93, 3, 30, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 3, 30, 42 is 3.

Therefore, GCD of numbers 93, 3, 30, 42 is 3

Given Input Data is 93, 3, 30, 42

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

Prime Factorization of 93 is 3 x 31

Prime Factorization of 3 is 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 42 is 2 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(93, 3) = 93

GCD(93, 3) = ( 93 x 3 ) / 93

GCD(93, 3) = 279 / 93

GCD(93, 3) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

GCD of 93, 3, 30, 42 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 1, 69, 29
• GCD of 98, 9, 13, 82
• GCD of 75, 9, 80, 86
• GCD of 16, 9, 84, 15
• GCD of 19, 7, 30, 83

1. What is the GCD of 93, 3, 30, 42?

GCD of 93, 3, 30, 42 is 3

2. Where do I get the detailed procedure to find GCD of 93, 3, 30, 42?

You can find a detailed procedure to find GCD of 93, 3, 30, 42 on our page.

3. How to find GCD of 93, 3, 30, 42 on a calculator?

You can find the GCD of 93, 3, 30, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.