GCD of 805, 288, 78, 358 Calculator

Given Input numbers are 805, 288, 78, 358

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 805, 288, 78, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 288, 78, 358 is 1.

Therefore, GCD of numbers 805, 288, 78, 358 is 1

Given Input Data is 805, 288, 78, 358

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 358 is 2 x 179

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(805, 288) = 231840

GCD(805, 288) = ( 805 x 288 ) / 231840

GCD(805, 288) = 231840 / 231840

GCD(805, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 805, 288, 78, 358 is 1

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• GCD of 330, 525, 26, 323
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1. What is the GCD of 805, 288, 78, 358?

GCD of 805, 288, 78, 358 is 1

2. Where do I get the detailed procedure to find GCD of 805, 288, 78, 358?

You can find a detailed procedure to find GCD of 805, 288, 78, 358 on our page.

3. How to find GCD of 805, 288, 78, 358 on a calculator?

You can find the GCD of 805, 288, 78, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.