GCD of 54, 682, 882, 841 Calculator

Given Input numbers are 54, 682, 882, 841

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 54, 682, 882, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 682, 882, 841 is 1.

Therefore, GCD of numbers 54, 682, 882, 841 is 1

Given Input Data is 54, 682, 882, 841

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 682 is 2 x 11 x 31

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

Prime Factorization of 841 is 29 x 29

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(54, 682) = 18414

GCD(54, 682) = ( 54 x 682 ) / 18414

GCD(54, 682) = 36828 / 18414

GCD(54, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 841

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

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

GCD(2, 841) = 1682 / 1682

GCD(2, 841) = 1

GCD of 54, 682, 882, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 504, 930, 492
• GCD of 76, 696, 260, 131
• GCD of 84, 323, 285, 526
• GCD of 88, 263, 481, 736
• GCD of 66, 359, 640, 865

1. What is the GCD of 54, 682, 882, 841?

GCD of 54, 682, 882, 841 is 1

2. Where do I get the detailed procedure to find GCD of 54, 682, 882, 841?

You can find a detailed procedure to find GCD of 54, 682, 882, 841 on our page.

3. How to find GCD of 54, 682, 882, 841 on a calculator?

You can find the GCD of 54, 682, 882, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.