GCD of 319, 240, 76, 583 Calculator

Given Input numbers are 319, 240, 76, 583

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 319, 240, 76, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 240, 76, 583 is 1.

Therefore, GCD of numbers 319, 240, 76, 583 is 1

Given Input Data is 319, 240, 76, 583

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 583 is 11 x 53

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(319, 240) = 76560

GCD(319, 240) = ( 319 x 240 ) / 76560

GCD(319, 240) = 76560 / 76560

GCD(319, 240) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 319, 240, 76, 583 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 643, 46, 476
• GCD of 123, 155, 91, 792
• GCD of 123, 952, 35, 433
• GCD of 419, 963, 38, 436
• GCD of 779, 583, 29, 549

1. What is the GCD of 319, 240, 76, 583?

GCD of 319, 240, 76, 583 is 1

2. Where do I get the detailed procedure to find GCD of 319, 240, 76, 583?

You can find a detailed procedure to find GCD of 319, 240, 76, 583 on our page.

3. How to find GCD of 319, 240, 76, 583 on a calculator?

You can find the GCD of 319, 240, 76, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.