GCD of 45, 431, 486, 545 Calculator

Given Input numbers are 45, 431, 486, 545

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 45, 431, 486, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 431, 486, 545 is 1.

Therefore, GCD of numbers 45, 431, 486, 545 is 1

Given Input Data is 45, 431, 486, 545

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 431 is 431

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 545 is 5 x 109

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, 431) = 19395

GCD(45, 431) = ( 45 x 431 ) / 19395

GCD(45, 431) = 19395 / 19395

GCD(45, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 45, 431, 486, 545 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 571, 319, 368
• GCD of 72, 245, 167, 380
• GCD of 43, 116, 380, 378
• GCD of 38, 743, 926, 409
• GCD of 91, 166, 399, 176

1. What is the GCD of 45, 431, 486, 545?

GCD of 45, 431, 486, 545 is 1

2. Where do I get the detailed procedure to find GCD of 45, 431, 486, 545?

You can find a detailed procedure to find GCD of 45, 431, 486, 545 on our page.

3. How to find GCD of 45, 431, 486, 545 on a calculator?

You can find the GCD of 45, 431, 486, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.