GCD of 905, 265, 345, 688 Calculator

Given Input numbers are 905, 265, 345, 688

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 905, 265, 345, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 265, 345, 688 is 1.

Therefore, GCD of numbers 905, 265, 345, 688 is 1

Given Input Data is 905, 265, 345, 688

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 265 is 5 x 53

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(905, 265) = 47965

GCD(905, 265) = ( 905 x 265 ) / 47965

GCD(905, 265) = 239825 / 47965

GCD(905, 265) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 345

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

LCM(5, 345) = 345

GCD(5, 345) = ( 5 x 345 ) / 345

GCD(5, 345) = 1725 / 345

GCD(5, 345) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 688

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

LCM(5, 688) = 3440

GCD(5, 688) = ( 5 x 688 ) / 3440

GCD(5, 688) = 3440 / 3440

GCD(5, 688) = 1

GCD of 905, 265, 345, 688 is 1

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1. What is the GCD of 905, 265, 345, 688?

GCD of 905, 265, 345, 688 is 1

2. Where do I get the detailed procedure to find GCD of 905, 265, 345, 688?

You can find a detailed procedure to find GCD of 905, 265, 345, 688 on our page.

3. How to find GCD of 905, 265, 345, 688 on a calculator?

You can find the GCD of 905, 265, 345, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.