GCD of 852, 870, 321, 282 Calculator

Given Input numbers are 852, 870, 321, 282

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 852, 870, 321, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 870, 321, 282 is 3.

Therefore, GCD of numbers 852, 870, 321, 282 is 3

Given Input Data is 852, 870, 321, 282

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 870 is 2 x 3 x 5 x 29

Prime Factorization of 321 is 3 x 107

Prime Factorization of 282 is 2 x 3 x 47

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 870) = 123540

GCD(852, 870) = ( 852 x 870 ) / 123540

GCD(852, 870) = 741240 / 123540

GCD(852, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 321

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

LCM(6, 321) = 642

GCD(6, 321) = ( 6 x 321 ) / 642

GCD(6, 321) = 1926 / 642

GCD(6, 321) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 282

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

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

GCD(3, 282) = 846 / 282

GCD(3, 282) = 3

GCD of 852, 870, 321, 282 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 688, 822, 376
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• GCD of 283, 650, 749, 810
• GCD of 601, 459, 690, 596

1. What is the GCD of 852, 870, 321, 282?

GCD of 852, 870, 321, 282 is 3

2. Where do I get the detailed procedure to find GCD of 852, 870, 321, 282?

You can find a detailed procedure to find GCD of 852, 870, 321, 282 on our page.

3. How to find GCD of 852, 870, 321, 282 on a calculator?

You can find the GCD of 852, 870, 321, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.