GCD of 426, 986, 796, 630 Calculator

Given Input numbers are 426, 986, 796, 630

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

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 426, 986, 796, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 986, 796, 630 is 2.

Therefore, GCD of numbers 426, 986, 796, 630 is 2

Given Input Data is 426, 986, 796, 630

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 796 is 2 x 2 x 199

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(426, 986) = 210018

GCD(426, 986) = ( 426 x 986 ) / 210018

GCD(426, 986) = 420036 / 210018

GCD(426, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

Step3:

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 426, 986, 796, 630 is 2

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1. What is the GCD of 426, 986, 796, 630?

GCD of 426, 986, 796, 630 is 2

2. Where do I get the detailed procedure to find GCD of 426, 986, 796, 630?

You can find a detailed procedure to find GCD of 426, 986, 796, 630 on our page.

3. How to find GCD of 426, 986, 796, 630 on a calculator?

You can find the GCD of 426, 986, 796, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.