GCD of 741, 561, 687, 218 Calculator

Given Input numbers are 741, 561, 687, 218

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

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 687

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

1, 3, 229, 687

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 741, 561, 687, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 561, 687, 218 is 1.

Therefore, GCD of numbers 741, 561, 687, 218 is 1

Given Input Data is 741, 561, 687, 218

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 687 is 3 x 229

Prime Factorization of 218 is 2 x 109

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(741, 561) = 138567

GCD(741, 561) = ( 741 x 561 ) / 138567

GCD(741, 561) = 415701 / 138567

GCD(741, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 687

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

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

GCD(3, 687) = 2061 / 687

GCD(3, 687) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 218

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

LCM(3, 218) = 654

GCD(3, 218) = ( 3 x 218 ) / 654

GCD(3, 218) = 654 / 654

GCD(3, 218) = 1

GCD of 741, 561, 687, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 141, 387, 997
• GCD of 534, 287, 234, 155
• GCD of 717, 139, 537, 687
• GCD of 209, 128, 728, 941
• GCD of 305, 802, 511, 414

1. What is the GCD of 741, 561, 687, 218?

GCD of 741, 561, 687, 218 is 1

2. Where do I get the detailed procedure to find GCD of 741, 561, 687, 218?

You can find a detailed procedure to find GCD of 741, 561, 687, 218 on our page.

3. How to find GCD of 741, 561, 687, 218 on a calculator?

You can find the GCD of 741, 561, 687, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.