GCD of 882, 298, 813, 402 Calculator

Given Input numbers are 882, 298, 813, 402

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 882, 298, 813, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 298, 813, 402 is 1.

Therefore, GCD of numbers 882, 298, 813, 402 is 1

Given Input Data is 882, 298, 813, 402

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 298 is 2 x 149

Prime Factorization of 813 is 3 x 271

Prime Factorization of 402 is 2 x 3 x 67

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(882, 298) = 131418

GCD(882, 298) = ( 882 x 298 ) / 131418

GCD(882, 298) = 262836 / 131418

GCD(882, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 882, 298, 813, 402 is 1

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1. What is the GCD of 882, 298, 813, 402?

GCD of 882, 298, 813, 402 is 1

2. Where do I get the detailed procedure to find GCD of 882, 298, 813, 402?

You can find a detailed procedure to find GCD of 882, 298, 813, 402 on our page.

3. How to find GCD of 882, 298, 813, 402 on a calculator?

You can find the GCD of 882, 298, 813, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.