GCD of 67, 75, 45 Calculator

Given Input numbers are 67, 75, 45

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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

Greatest Common Divisior

We found the divisors of 67, 75, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 75, 45 is 1.

Therefore, GCD of numbers 67, 75, 45 is 1

Given Input Data is 67, 75, 45

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

Prime Factorization of 67 is 67

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 45 is 3 x 3 x 5

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(67, 75) = 5025

GCD(67, 75) = ( 67 x 75 ) / 5025

GCD(67, 75) = 5025 / 5025

GCD(67, 75) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

GCD of 67, 75, 45 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 66, 58
• GCD of 54, 50, 77
• GCD of 74, 63, 69
• GCD of 22, 37, 65
• GCD of 82, 59, 46

1. What is the GCD of 67, 75, 45?

GCD of 67, 75, 45 is 1

2. Where do I get the detailed procedure to find GCD of 67, 75, 45?

You can find a detailed procedure to find GCD of 67, 75, 45 on our page.

3. How to find GCD of 67, 75, 45 on a calculator?

You can find the GCD of 67, 75, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.