GCD of 85, 324, 371, 448 Calculator

Given Input numbers are 85, 324, 371, 448

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 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 85, 324, 371, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 324, 371, 448 is 1.

Therefore, GCD of numbers 85, 324, 371, 448 is 1

Given Input Data is 85, 324, 371, 448

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 371 is 7 x 53

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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, 324) = 27540

GCD(85, 324) = ( 85 x 324 ) / 27540

GCD(85, 324) = 27540 / 27540

GCD(85, 324) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 85, 324, 371, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 593, 397, 357
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1. What is the GCD of 85, 324, 371, 448?

GCD of 85, 324, 371, 448 is 1

2. Where do I get the detailed procedure to find GCD of 85, 324, 371, 448?

You can find a detailed procedure to find GCD of 85, 324, 371, 448 on our page.

3. How to find GCD of 85, 324, 371, 448 on a calculator?

You can find the GCD of 85, 324, 371, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.