GCD of 627, 828, 46, 802 Calculator

Given Input numbers are 627, 828, 46, 802

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 802

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

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 627, 828, 46, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 828, 46, 802 is 1.

Therefore, GCD of numbers 627, 828, 46, 802 is 1

Given Input Data is 627, 828, 46, 802

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 46 is 2 x 23

Prime Factorization of 802 is 2 x 401

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(627, 828) = 173052

GCD(627, 828) = ( 627 x 828 ) / 173052

GCD(627, 828) = 519156 / 173052

GCD(627, 828) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 627, 828, 46, 802 is 1

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1. What is the GCD of 627, 828, 46, 802?

GCD of 627, 828, 46, 802 is 1

2. Where do I get the detailed procedure to find GCD of 627, 828, 46, 802?

You can find a detailed procedure to find GCD of 627, 828, 46, 802 on our page.

3. How to find GCD of 627, 828, 46, 802 on a calculator?

You can find the GCD of 627, 828, 46, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.