GCD of 362, 294, 630 Calculator

Given Input numbers are 362, 294, 630

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 362, 294, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 294, 630 is 2.

Therefore, GCD of numbers 362, 294, 630 is 2

Given Input Data is 362, 294, 630

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

Prime Factorization of 362 is 2 x 181

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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(362, 294) = 53214

GCD(362, 294) = ( 362 x 294 ) / 53214

GCD(362, 294) = 106428 / 53214

GCD(362, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

GCD of 362, 294, 630 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 799, 187
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• GCD of 357, 122, 803
• GCD of 720, 999, 424

1. What is the GCD of 362, 294, 630?

GCD of 362, 294, 630 is 2

2. Where do I get the detailed procedure to find GCD of 362, 294, 630?

You can find a detailed procedure to find GCD of 362, 294, 630 on our page.

3. How to find GCD of 362, 294, 630 on a calculator?

You can find the GCD of 362, 294, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.