GCD of 282, 858, 324, 354 Calculator

Given Input numbers are 282, 858, 324, 354

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

Divisors of 282

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

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 282, 858, 324, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 858, 324, 354 is 6.

Therefore, GCD of numbers 282, 858, 324, 354 is 6

Given Input Data is 282, 858, 324, 354

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 858 is 2 x 3 x 11 x 13

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

Prime Factorization of 354 is 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(282, 858) = 40326

GCD(282, 858) = ( 282 x 858 ) / 40326

GCD(282, 858) = 241956 / 40326

GCD(282, 858) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 324

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

LCM(6, 324) = 324

GCD(6, 324) = ( 6 x 324 ) / 324

GCD(6, 324) = 1944 / 324

GCD(6, 324) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 354

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

LCM(6, 354) = 354

GCD(6, 354) = ( 6 x 354 ) / 354

GCD(6, 354) = 2124 / 354

GCD(6, 354) = 6

GCD of 282, 858, 324, 354 is 6

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1. What is the GCD of 282, 858, 324, 354?

GCD of 282, 858, 324, 354 is 6

2. Where do I get the detailed procedure to find GCD of 282, 858, 324, 354?

You can find a detailed procedure to find GCD of 282, 858, 324, 354 on our page.

3. How to find GCD of 282, 858, 324, 354 on a calculator?

You can find the GCD of 282, 858, 324, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.