GCD of 882, 714, 741, 733 Calculator

Given Input numbers are 882, 714, 741, 733

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 882, 714, 741, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 714, 741, 733 is 1.

Therefore, GCD of numbers 882, 714, 741, 733 is 1

Given Input Data is 882, 714, 741, 733

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 714 is 2 x 3 x 7 x 17

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 733 is 733

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, 714) = 14994

GCD(882, 714) = ( 882 x 714 ) / 14994

GCD(882, 714) = 629748 / 14994

GCD(882, 714) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 741

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

LCM(42, 741) = 10374

GCD(42, 741) = ( 42 x 741 ) / 10374

GCD(42, 741) = 31122 / 10374

GCD(42, 741) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 733

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

LCM(3, 733) = 2199

GCD(3, 733) = ( 3 x 733 ) / 2199

GCD(3, 733) = 2199 / 2199

GCD(3, 733) = 1

GCD of 882, 714, 741, 733 is 1

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1. What is the GCD of 882, 714, 741, 733?

GCD of 882, 714, 741, 733 is 1

2. Where do I get the detailed procedure to find GCD of 882, 714, 741, 733?

You can find a detailed procedure to find GCD of 882, 714, 741, 733 on our page.

3. How to find GCD of 882, 714, 741, 733 on a calculator?

You can find the GCD of 882, 714, 741, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.