GCD of 15, 69, 42 Calculator

Given Input numbers are 15, 69, 42

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

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

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 15, 69, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 69, 42 is 3.

Therefore, GCD of numbers 15, 69, 42 is 3

Given Input Data is 15, 69, 42

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 69 is 3 x 23

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(15, 69) = 345

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

GCD(15, 69) = 1035 / 345

GCD(15, 69) = 3

Step2:

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 15, 69, 42 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 75, 55
• GCD of 44, 65, 17
• GCD of 73, 62, 45
• GCD of 80, 76, 76
• GCD of 88, 46, 73

1. What is the GCD of 15, 69, 42?

GCD of 15, 69, 42 is 3

2. Where do I get the detailed procedure to find GCD of 15, 69, 42?

You can find a detailed procedure to find GCD of 15, 69, 42 on our page.

3. How to find GCD of 15, 69, 42 on a calculator?

You can find the GCD of 15, 69, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.