GCD of 312, 590, 99, 742 Calculator

Given Input numbers are 312, 590, 99, 742

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 312, 590, 99, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 590, 99, 742 is 1.

Therefore, GCD of numbers 312, 590, 99, 742 is 1

Given Input Data is 312, 590, 99, 742

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 742 is 2 x 7 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(312, 590) = 92040

GCD(312, 590) = ( 312 x 590 ) / 92040

GCD(312, 590) = 184080 / 92040

GCD(312, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 312, 590, 99, 742 is 1

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1. What is the GCD of 312, 590, 99, 742?

GCD of 312, 590, 99, 742 is 1

2. Where do I get the detailed procedure to find GCD of 312, 590, 99, 742?

You can find a detailed procedure to find GCD of 312, 590, 99, 742 on our page.

3. How to find GCD of 312, 590, 99, 742 on a calculator?

You can find the GCD of 312, 590, 99, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.