GCD of 45, 551, 814, 131 Calculator

Given Input numbers are 45, 551, 814, 131

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 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 45, 551, 814, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 551, 814, 131 is 1.

Therefore, GCD of numbers 45, 551, 814, 131 is 1

Given Input Data is 45, 551, 814, 131

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 551 is 19 x 29

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 131 is 131

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, 551) = 24795

GCD(45, 551) = ( 45 x 551 ) / 24795

GCD(45, 551) = 24795 / 24795

GCD(45, 551) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 45, 551, 814, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 410, 642, 880
• GCD of 23, 720, 122, 168
• GCD of 73, 820, 740, 499
• GCD of 42, 947, 799, 370
• GCD of 38, 806, 419, 589

1. What is the GCD of 45, 551, 814, 131?

GCD of 45, 551, 814, 131 is 1

2. Where do I get the detailed procedure to find GCD of 45, 551, 814, 131?

You can find a detailed procedure to find GCD of 45, 551, 814, 131 on our page.

3. How to find GCD of 45, 551, 814, 131 on a calculator?

You can find the GCD of 45, 551, 814, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.