GCD of 45, 30, 74 Calculator

Given Input numbers are 45, 30, 74

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

Divisors of 45

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

1, 3, 5, 9, 15, 45

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 45, 30, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 30, 74 is 1.

Therefore, GCD of numbers 45, 30, 74 is 1

Given Input Data is 45, 30, 74

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 74 is 2 x 37

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(45, 30) = 90

GCD(45, 30) = ( 45 x 30 ) / 90

GCD(45, 30) = 1350 / 90

GCD(45, 30) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 74

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

LCM(15, 74) = 1110

GCD(15, 74) = ( 15 x 74 ) / 1110

GCD(15, 74) = 1110 / 1110

GCD(15, 74) = 1

GCD of 45, 30, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 25, 87
• GCD of 19, 68, 25
• GCD of 70, 78, 95
• GCD of 10, 77, 41
• GCD of 26, 43, 17

1. What is the GCD of 45, 30, 74?

GCD of 45, 30, 74 is 1

2. Where do I get the detailed procedure to find GCD of 45, 30, 74?

You can find a detailed procedure to find GCD of 45, 30, 74 on our page.

3. How to find GCD of 45, 30, 74 on a calculator?

You can find the GCD of 45, 30, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.