GCD of 45, 125, 509, 791 Calculator

Given Input numbers are 45, 125, 509, 791

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 45, 125, 509, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 125, 509, 791 is 1.

Therefore, GCD of numbers 45, 125, 509, 791 is 1

Given Input Data is 45, 125, 509, 791

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 125 is 5 x 5 x 5

Prime Factorization of 509 is 509

Prime Factorization of 791 is 7 x 113

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, 125) = 1125

GCD(45, 125) = ( 45 x 125 ) / 1125

GCD(45, 125) = 5625 / 1125

GCD(45, 125) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 509

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

LCM(5, 509) = 2545

GCD(5, 509) = ( 5 x 509 ) / 2545

GCD(5, 509) = 2545 / 2545

GCD(5, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 45, 125, 509, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 918, 995, 678
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• GCD of 47, 922, 242, 458

1. What is the GCD of 45, 125, 509, 791?

GCD of 45, 125, 509, 791 is 1

2. Where do I get the detailed procedure to find GCD of 45, 125, 509, 791?

You can find a detailed procedure to find GCD of 45, 125, 509, 791 on our page.

3. How to find GCD of 45, 125, 509, 791 on a calculator?

You can find the GCD of 45, 125, 509, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.