GCD of 39, 545, 440, 313 Calculator

Given Input numbers are 39, 545, 440, 313

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 545

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

1, 5, 109, 545

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 39, 545, 440, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 545, 440, 313 is 1.

Therefore, GCD of numbers 39, 545, 440, 313 is 1

Given Input Data is 39, 545, 440, 313

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 545 is 5 x 109

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 313 is 313

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(39, 545) = 21255

GCD(39, 545) = ( 39 x 545 ) / 21255

GCD(39, 545) = 21255 / 21255

GCD(39, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 39, 545, 440, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 125, 886, 646
• GCD of 67, 387, 456, 704
• GCD of 83, 573, 315, 352
• GCD of 38, 792, 897, 737
• GCD of 37, 134, 520, 586

1. What is the GCD of 39, 545, 440, 313?

GCD of 39, 545, 440, 313 is 1

2. Where do I get the detailed procedure to find GCD of 39, 545, 440, 313?

You can find a detailed procedure to find GCD of 39, 545, 440, 313 on our page.

3. How to find GCD of 39, 545, 440, 313 on a calculator?

You can find the GCD of 39, 545, 440, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.