GCD of 882, 413, 745, 687 Calculator

Given Input numbers are 882, 413, 745, 687

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 882, 413, 745, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 413, 745, 687 is 1.

Therefore, GCD of numbers 882, 413, 745, 687 is 1

Given Input Data is 882, 413, 745, 687

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 413 is 7 x 59

Prime Factorization of 745 is 5 x 149

Prime Factorization of 687 is 3 x 229

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, 413) = 52038

GCD(882, 413) = ( 882 x 413 ) / 52038

GCD(882, 413) = 364266 / 52038

GCD(882, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 745

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

LCM(7, 745) = 5215

GCD(7, 745) = ( 7 x 745 ) / 5215

GCD(7, 745) = 5215 / 5215

GCD(7, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 882, 413, 745, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 979, 954, 386
• GCD of 432, 855, 285, 923
• GCD of 349, 622, 308, 311
• GCD of 746, 187, 719, 477
• GCD of 628, 566, 657, 143

1. What is the GCD of 882, 413, 745, 687?

GCD of 882, 413, 745, 687 is 1

2. Where do I get the detailed procedure to find GCD of 882, 413, 745, 687?

You can find a detailed procedure to find GCD of 882, 413, 745, 687 on our page.

3. How to find GCD of 882, 413, 745, 687 on a calculator?

You can find the GCD of 882, 413, 745, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.