GCD of 630, 686, 50, 362 Calculator

Given Input numbers are 630, 686, 50, 362

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 362

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

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 630, 686, 50, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 686, 50, 362 is 2.

Therefore, GCD of numbers 630, 686, 50, 362 is 2

Given Input Data is 630, 686, 50, 362

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 686 is 2 x 7 x 7 x 7

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 362 is 2 x 181

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, 686) = 30870

GCD(630, 686) = ( 630 x 686 ) / 30870

GCD(630, 686) = 432180 / 30870

GCD(630, 686) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 50

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

LCM(14, 50) = 350

GCD(14, 50) = ( 14 x 50 ) / 350

GCD(14, 50) = 700 / 350

GCD(14, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

GCD of 630, 686, 50, 362 is 2

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1. What is the GCD of 630, 686, 50, 362?

GCD of 630, 686, 50, 362 is 2

2. Where do I get the detailed procedure to find GCD of 630, 686, 50, 362?

You can find a detailed procedure to find GCD of 630, 686, 50, 362 on our page.

3. How to find GCD of 630, 686, 50, 362 on a calculator?

You can find the GCD of 630, 686, 50, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.