GCD of 345, 359, 815, 253 Calculator

Given Input numbers are 345, 359, 815, 253

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

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 359

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

1, 359

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 345, 359, 815, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 359, 815, 253 is 1.

Therefore, GCD of numbers 345, 359, 815, 253 is 1

Given Input Data is 345, 359, 815, 253

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 359 is 359

Prime Factorization of 815 is 5 x 163

Prime Factorization of 253 is 11 x 23

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(345, 359) = 123855

GCD(345, 359) = ( 345 x 359 ) / 123855

GCD(345, 359) = 123855 / 123855

GCD(345, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 345, 359, 815, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 542, 132, 426
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1. What is the GCD of 345, 359, 815, 253?

GCD of 345, 359, 815, 253 is 1

2. Where do I get the detailed procedure to find GCD of 345, 359, 815, 253?

You can find a detailed procedure to find GCD of 345, 359, 815, 253 on our page.

3. How to find GCD of 345, 359, 815, 253 on a calculator?

You can find the GCD of 345, 359, 815, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.