GCD of 45, 712, 501, 365 Calculator

Given Input numbers are 45, 712, 501, 365

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 45, 712, 501, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 712, 501, 365 is 1.

Therefore, GCD of numbers 45, 712, 501, 365 is 1

Given Input Data is 45, 712, 501, 365

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 501 is 3 x 167

Prime Factorization of 365 is 5 x 73

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, 712) = 32040

GCD(45, 712) = ( 45 x 712 ) / 32040

GCD(45, 712) = 32040 / 32040

GCD(45, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 45, 712, 501, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 553, 567, 479
• GCD of 12, 750, 257, 519
• GCD of 86, 495, 407, 714
• GCD of 81, 374, 672, 137
• GCD of 33, 231, 633, 511

1. What is the GCD of 45, 712, 501, 365?

GCD of 45, 712, 501, 365 is 1

2. Where do I get the detailed procedure to find GCD of 45, 712, 501, 365?

You can find a detailed procedure to find GCD of 45, 712, 501, 365 on our page.

3. How to find GCD of 45, 712, 501, 365 on a calculator?

You can find the GCD of 45, 712, 501, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.