GCD of 45, 115, 146, 741 Calculator

Given Input numbers are 45, 115, 146, 741

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 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 45, 115, 146, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 115, 146, 741 is 1.

Therefore, GCD of numbers 45, 115, 146, 741 is 1

Given Input Data is 45, 115, 146, 741

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 115 is 5 x 23

Prime Factorization of 146 is 2 x 73

Prime Factorization of 741 is 3 x 13 x 19

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, 115) = 1035

GCD(45, 115) = ( 45 x 115 ) / 1035

GCD(45, 115) = 5175 / 1035

GCD(45, 115) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 146

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

LCM(5, 146) = 730

GCD(5, 146) = ( 5 x 146 ) / 730

GCD(5, 146) = 730 / 730

GCD(5, 146) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 45, 115, 146, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 914, 951, 105
• GCD of 83, 425, 872, 257
• GCD of 31, 824, 188, 604
• GCD of 42, 229, 328, 827
• GCD of 29, 603, 819, 394

1. What is the GCD of 45, 115, 146, 741?

GCD of 45, 115, 146, 741 is 1

2. Where do I get the detailed procedure to find GCD of 45, 115, 146, 741?

You can find a detailed procedure to find GCD of 45, 115, 146, 741 on our page.

3. How to find GCD of 45, 115, 146, 741 on a calculator?

You can find the GCD of 45, 115, 146, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.