GCD of 630, 802, 172 Calculator

Given Input numbers are 630, 802, 172

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

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 630, 802, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 802, 172 is 2.

Therefore, GCD of numbers 630, 802, 172 is 2

Given Input Data is 630, 802, 172

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

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 172 is 2 x 2 x 43

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(630, 802) = 252630

GCD(630, 802) = ( 630 x 802 ) / 252630

GCD(630, 802) = 505260 / 252630

GCD(630, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 630, 802, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 727, 826
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1. What is the GCD of 630, 802, 172?

GCD of 630, 802, 172 is 2

2. Where do I get the detailed procedure to find GCD of 630, 802, 172?

You can find a detailed procedure to find GCD of 630, 802, 172 on our page.

3. How to find GCD of 630, 802, 172 on a calculator?

You can find the GCD of 630, 802, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.