GCD of 75, 45, 15, 26 Calculator

Given Input numbers are 75, 45, 15, 26

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 15

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

1, 3, 5, 15

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Greatest Common Divisior

We found the divisors of 75, 45, 15, 26 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 45, 15, 26 is 1.

Therefore, GCD of numbers 75, 45, 15, 26 is 1

Given Input Data is 75, 45, 15, 26

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 15 is 3 x 5

Prime Factorization of 26 is 2 x 13

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(75, 45) = 225

GCD(75, 45) = ( 75 x 45 ) / 225

GCD(75, 45) = 3375 / 225

GCD(75, 45) = 15

Step2:

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

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

LCM(15, 15) = 15

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

GCD(15, 15) = 225 / 15

GCD(15, 15) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 26

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

LCM(15, 26) = 390

GCD(15, 26) = ( 15 x 26 ) / 390

GCD(15, 26) = 390 / 390

GCD(15, 26) = 1

GCD of 75, 45, 15, 26 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 73, 44, 69
• GCD of 97, 44, 96, 75
• GCD of 77, 40, 87, 42
• GCD of 66, 58, 40, 68
• GCD of 91, 30, 52, 28

1. What is the GCD of 75, 45, 15, 26?

GCD of 75, 45, 15, 26 is 1

2. Where do I get the detailed procedure to find GCD of 75, 45, 15, 26?

You can find a detailed procedure to find GCD of 75, 45, 15, 26 on our page.

3. How to find GCD of 75, 45, 15, 26 on a calculator?

You can find the GCD of 75, 45, 15, 26 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.