GCD of 294, 324, 422, 870 Calculator

Given Input numbers are 294, 324, 422, 870

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

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

Greatest Common Divisior

We found the divisors of 294, 324, 422, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 324, 422, 870 is 2.

Therefore, GCD of numbers 294, 324, 422, 870 is 2

Given Input Data is 294, 324, 422, 870

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 870 is 2 x 3 x 5 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(294, 324) = 15876

GCD(294, 324) = ( 294 x 324 ) / 15876

GCD(294, 324) = 95256 / 15876

GCD(294, 324) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 422

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

LCM(6, 422) = 1266

GCD(6, 422) = ( 6 x 422 ) / 1266

GCD(6, 422) = 2532 / 1266

GCD(6, 422) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

GCD of 294, 324, 422, 870 is 2

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1. What is the GCD of 294, 324, 422, 870?

GCD of 294, 324, 422, 870 is 2

2. Where do I get the detailed procedure to find GCD of 294, 324, 422, 870?

You can find a detailed procedure to find GCD of 294, 324, 422, 870 on our page.

3. How to find GCD of 294, 324, 422, 870 on a calculator?

You can find the GCD of 294, 324, 422, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.