GCD of 315, 852, 89, 345 Calculator

Given Input numbers are 315, 852, 89, 345

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 315, 852, 89, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 852, 89, 345 is 1.

Therefore, GCD of numbers 315, 852, 89, 345 is 1

Given Input Data is 315, 852, 89, 345

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 89 is 89

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(315, 852) = 89460

GCD(315, 852) = ( 315 x 852 ) / 89460

GCD(315, 852) = 268380 / 89460

GCD(315, 852) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 89

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

LCM(3, 89) = 267

GCD(3, 89) = ( 3 x 89 ) / 267

GCD(3, 89) = 267 / 267

GCD(3, 89) = 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 315, 852, 89, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 823, 80, 850
• GCD of 145, 183, 66, 507
• GCD of 742, 530, 14, 549
• GCD of 749, 500, 33, 882
• GCD of 481, 497, 12, 359

1. What is the GCD of 315, 852, 89, 345?

GCD of 315, 852, 89, 345 is 1

2. Where do I get the detailed procedure to find GCD of 315, 852, 89, 345?

You can find a detailed procedure to find GCD of 315, 852, 89, 345 on our page.

3. How to find GCD of 315, 852, 89, 345 on a calculator?

You can find the GCD of 315, 852, 89, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.