GCD of 131, 711, 45, 309 Calculator

Given Input numbers are 131, 711, 45, 309

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 131

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

1, 131

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 131, 711, 45, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 711, 45, 309 is 1.

Therefore, GCD of numbers 131, 711, 45, 309 is 1

Given Input Data is 131, 711, 45, 309

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 131 is 131

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 309 is 3 x 103

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(131, 711) = 93141

GCD(131, 711) = ( 131 x 711 ) / 93141

GCD(131, 711) = 93141 / 93141

GCD(131, 711) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 131, 711, 45, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 265, 17, 660
• GCD of 626, 291, 48, 432
• GCD of 458, 501, 46, 364
• GCD of 896, 928, 19, 185
• GCD of 143, 732, 88, 286

1. What is the GCD of 131, 711, 45, 309?

GCD of 131, 711, 45, 309 is 1

2. Where do I get the detailed procedure to find GCD of 131, 711, 45, 309?

You can find a detailed procedure to find GCD of 131, 711, 45, 309 on our page.

3. How to find GCD of 131, 711, 45, 309 on a calculator?

You can find the GCD of 131, 711, 45, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.