GCD of 85, 504, 365, 345 Calculator

Given Input numbers are 85, 504, 365, 345

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 345

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

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

Greatest Common Divisior

We found the divisors of 85, 504, 365, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 504, 365, 345 is 1.

Therefore, GCD of numbers 85, 504, 365, 345 is 1

Given Input Data is 85, 504, 365, 345

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 365 is 5 x 73

Prime Factorization of 345 is 3 x 5 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(85, 504) = 42840

GCD(85, 504) = ( 85 x 504 ) / 42840

GCD(85, 504) = 42840 / 42840

GCD(85, 504) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 85, 504, 365, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 890, 396, 330
• GCD of 20, 715, 730, 793
• GCD of 74, 693, 790, 461
• GCD of 78, 782, 876, 665
• GCD of 91, 121, 586, 761

1. What is the GCD of 85, 504, 365, 345?

GCD of 85, 504, 365, 345 is 1

2. Where do I get the detailed procedure to find GCD of 85, 504, 365, 345?

You can find a detailed procedure to find GCD of 85, 504, 365, 345 on our page.

3. How to find GCD of 85, 504, 365, 345 on a calculator?

You can find the GCD of 85, 504, 365, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.