GCD of 359, 927, 390, 705 Calculator

Given Input numbers are 359, 927, 390, 705

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 359, 927, 390, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 927, 390, 705 is 1.

Therefore, GCD of numbers 359, 927, 390, 705 is 1

Given Input Data is 359, 927, 390, 705

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

Prime Factorization of 359 is 359

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 705 is 3 x 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(359, 927) = 332793

GCD(359, 927) = ( 359 x 927 ) / 332793

GCD(359, 927) = 332793 / 332793

GCD(359, 927) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 359, 927, 390, 705 is 1

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1. What is the GCD of 359, 927, 390, 705?

GCD of 359, 927, 390, 705 is 1

2. Where do I get the detailed procedure to find GCD of 359, 927, 390, 705?

You can find a detailed procedure to find GCD of 359, 927, 390, 705 on our page.

3. How to find GCD of 359, 927, 390, 705 on a calculator?

You can find the GCD of 359, 927, 390, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.