GCD of 852, 574, 90, 319 Calculator

Given Input numbers are 852, 574, 90, 319

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

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 852, 574, 90, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 574, 90, 319 is 1.

Therefore, GCD of numbers 852, 574, 90, 319 is 1

Given Input Data is 852, 574, 90, 319

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

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 319 is 11 x 29

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(852, 574) = 244524

GCD(852, 574) = ( 852 x 574 ) / 244524

GCD(852, 574) = 489048 / 244524

GCD(852, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

GCD of 852, 574, 90, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 873, 87, 229
• GCD of 206, 747, 54, 798
• GCD of 618, 321, 91, 312
• GCD of 441, 466, 65, 132
• GCD of 742, 718, 69, 292

1. What is the GCD of 852, 574, 90, 319?

GCD of 852, 574, 90, 319 is 1

2. Where do I get the detailed procedure to find GCD of 852, 574, 90, 319?

You can find a detailed procedure to find GCD of 852, 574, 90, 319 on our page.

3. How to find GCD of 852, 574, 90, 319 on a calculator?

You can find the GCD of 852, 574, 90, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.