GCD of 523, 993, 60, 308 Calculator

Given Input numbers are 523, 993, 60, 308

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 523, 993, 60, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 993, 60, 308 is 1.

Therefore, GCD of numbers 523, 993, 60, 308 is 1

Given Input Data is 523, 993, 60, 308

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

Prime Factorization of 523 is 523

Prime Factorization of 993 is 3 x 331

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(523, 993) = 519339

GCD(523, 993) = ( 523 x 993 ) / 519339

GCD(523, 993) = 519339 / 519339

GCD(523, 993) = 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 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 523, 993, 60, 308 is 1

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• GCD of 149, 415, 72, 943
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1. What is the GCD of 523, 993, 60, 308?

GCD of 523, 993, 60, 308 is 1

2. Where do I get the detailed procedure to find GCD of 523, 993, 60, 308?

You can find a detailed procedure to find GCD of 523, 993, 60, 308 on our page.

3. How to find GCD of 523, 993, 60, 308 on a calculator?

You can find the GCD of 523, 993, 60, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.