GCD of 369, 807, 564, 235 Calculator

Given Input numbers are 369, 807, 564, 235

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

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 369, 807, 564, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 807, 564, 235 is 1.

Therefore, GCD of numbers 369, 807, 564, 235 is 1

Given Input Data is 369, 807, 564, 235

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 807 is 3 x 269

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 235 is 5 x 47

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(369, 807) = 99261

GCD(369, 807) = ( 369 x 807 ) / 99261

GCD(369, 807) = 297783 / 99261

GCD(369, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 564

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

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

GCD(3, 564) = 1692 / 564

GCD(3, 564) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 235

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

LCM(3, 235) = 705

GCD(3, 235) = ( 3 x 235 ) / 705

GCD(3, 235) = 705 / 705

GCD(3, 235) = 1

GCD of 369, 807, 564, 235 is 1

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1. What is the GCD of 369, 807, 564, 235?

GCD of 369, 807, 564, 235 is 1

2. Where do I get the detailed procedure to find GCD of 369, 807, 564, 235?

You can find a detailed procedure to find GCD of 369, 807, 564, 235 on our page.

3. How to find GCD of 369, 807, 564, 235 on a calculator?

You can find the GCD of 369, 807, 564, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.