GCD of 282, 654, 350, 353 Calculator

Given Input numbers are 282, 654, 350, 353

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 282, 654, 350, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 654, 350, 353 is 1.

Therefore, GCD of numbers 282, 654, 350, 353 is 1

Given Input Data is 282, 654, 350, 353

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 654 is 2 x 3 x 109

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 353 is 353

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(282, 654) = 30738

GCD(282, 654) = ( 282 x 654 ) / 30738

GCD(282, 654) = 184428 / 30738

GCD(282, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 350

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

LCM(6, 350) = 1050

GCD(6, 350) = ( 6 x 350 ) / 1050

GCD(6, 350) = 2100 / 1050

GCD(6, 350) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

GCD of 282, 654, 350, 353 is 1

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• GCD of 339, 222, 833, 427
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1. What is the GCD of 282, 654, 350, 353?

GCD of 282, 654, 350, 353 is 1

2. Where do I get the detailed procedure to find GCD of 282, 654, 350, 353?

You can find a detailed procedure to find GCD of 282, 654, 350, 353 on our page.

3. How to find GCD of 282, 654, 350, 353 on a calculator?

You can find the GCD of 282, 654, 350, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.