GCD of 30, 15, 69 Calculator

Given Input numbers are 30, 15, 69

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 30, 15, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 15, 69 is 3.

Therefore, GCD of numbers 30, 15, 69 is 3

Given Input Data is 30, 15, 69

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 15 is 3 x 5

Prime Factorization of 69 is 3 x 23

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(30, 15) = 30

GCD(30, 15) = ( 30 x 15 ) / 30

GCD(30, 15) = 450 / 30

GCD(30, 15) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 69

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

LCM(15, 69) = 345

GCD(15, 69) = ( 15 x 69 ) / 345

GCD(15, 69) = 1035 / 345

GCD(15, 69) = 3

GCD of 30, 15, 69 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 90, 63
• GCD of 84, 62, 88
• GCD of 57, 89, 37
• GCD of 63, 95, 43
• GCD of 99, 32, 68

1. What is the GCD of 30, 15, 69?

GCD of 30, 15, 69 is 3

2. Where do I get the detailed procedure to find GCD of 30, 15, 69?

You can find a detailed procedure to find GCD of 30, 15, 69 on our page.

3. How to find GCD of 30, 15, 69 on a calculator?

You can find the GCD of 30, 15, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.