GCD of 69, 9, 75, 15 Calculator

Given Input numbers are 69, 9, 75, 15

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

Divisors of 69

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

1, 3, 23, 69

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 15

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

1, 3, 5, 15

Greatest Common Divisior

We found the divisors of 69, 9, 75, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 9, 75, 15 is 3.

Therefore, GCD of numbers 69, 9, 75, 15 is 3

Given Input Data is 69, 9, 75, 15

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 9 is 3 x 3

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 15 is 3 x 5

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(69, 9) = 207

GCD(69, 9) = ( 69 x 9 ) / 207

GCD(69, 9) = 621 / 207

GCD(69, 9) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

GCD of 69, 9, 75, 15 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 6, 54, 61
• GCD of 83, 4, 87, 12
• GCD of 43, 2, 74, 89
• GCD of 96, 6, 36, 86
• GCD of 40, 3, 67, 79

1. What is the GCD of 69, 9, 75, 15?

GCD of 69, 9, 75, 15 is 3

2. Where do I get the detailed procedure to find GCD of 69, 9, 75, 15?

You can find a detailed procedure to find GCD of 69, 9, 75, 15 on our page.

3. How to find GCD of 69, 9, 75, 15 on a calculator?

You can find the GCD of 69, 9, 75, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.