GCD of 592, 420, 311, 307 Calculator

Given Input numbers are 592, 420, 311, 307

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 592, 420, 311, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 420, 311, 307 is 1.

Therefore, GCD of numbers 592, 420, 311, 307 is 1

Given Input Data is 592, 420, 311, 307

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 311 is 311

Prime Factorization of 307 is 307

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(592, 420) = 62160

GCD(592, 420) = ( 592 x 420 ) / 62160

GCD(592, 420) = 248640 / 62160

GCD(592, 420) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 311

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

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

GCD(4, 311) = 1244 / 1244

GCD(4, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 592, 420, 311, 307 is 1

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• GCD of 388, 356, 942, 395
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1. What is the GCD of 592, 420, 311, 307?

GCD of 592, 420, 311, 307 is 1

2. Where do I get the detailed procedure to find GCD of 592, 420, 311, 307?

You can find a detailed procedure to find GCD of 592, 420, 311, 307 on our page.

3. How to find GCD of 592, 420, 311, 307 on a calculator?

You can find the GCD of 592, 420, 311, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.