GCD of 307, 392, 52, 369 Calculator

Given Input numbers are 307, 392, 52, 369

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

Divisors of 307

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

1, 307

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 307, 392, 52, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 392, 52, 369 is 1.

Therefore, GCD of numbers 307, 392, 52, 369 is 1

Given Input Data is 307, 392, 52, 369

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

Prime Factorization of 307 is 307

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 369 is 3 x 3 x 41

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(307, 392) = 120344

GCD(307, 392) = ( 307 x 392 ) / 120344

GCD(307, 392) = 120344 / 120344

GCD(307, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 307, 392, 52, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 298, 38, 999
• GCD of 520, 757, 30, 101
• GCD of 369, 617, 74, 875
• GCD of 234, 824, 22, 783
• GCD of 847, 681, 53, 743

1. What is the GCD of 307, 392, 52, 369?

GCD of 307, 392, 52, 369 is 1

2. Where do I get the detailed procedure to find GCD of 307, 392, 52, 369?

You can find a detailed procedure to find GCD of 307, 392, 52, 369 on our page.

3. How to find GCD of 307, 392, 52, 369 on a calculator?

You can find the GCD of 307, 392, 52, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.