GCD of 578, 753, 60, 309 Calculator

Given Input numbers are 578, 753, 60, 309

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 578, 753, 60, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 753, 60, 309 is 1.

Therefore, GCD of numbers 578, 753, 60, 309 is 1

Given Input Data is 578, 753, 60, 309

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 753 is 3 x 251

Prime Factorization of 60 is 2 x 2 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(578, 753) = 435234

GCD(578, 753) = ( 578 x 753 ) / 435234

GCD(578, 753) = 435234 / 435234

GCD(578, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 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 578, 753, 60, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 510, 92, 693
• GCD of 261, 272, 96, 994
• GCD of 523, 890, 70, 135
• GCD of 503, 616, 16, 920
• GCD of 941, 278, 25, 298

1. What is the GCD of 578, 753, 60, 309?

GCD of 578, 753, 60, 309 is 1

2. Where do I get the detailed procedure to find GCD of 578, 753, 60, 309?

You can find a detailed procedure to find GCD of 578, 753, 60, 309 on our page.

3. How to find GCD of 578, 753, 60, 309 on a calculator?

You can find the GCD of 578, 753, 60, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.