GCD of 682, 123, 87, 660 Calculator

Given Input numbers are 682, 123, 87, 660

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

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 682, 123, 87, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 123, 87, 660 is 1.

Therefore, GCD of numbers 682, 123, 87, 660 is 1

Given Input Data is 682, 123, 87, 660

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 123 is 3 x 41

Prime Factorization of 87 is 3 x 29

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(682, 123) = 83886

GCD(682, 123) = ( 682 x 123 ) / 83886

GCD(682, 123) = 83886 / 83886

GCD(682, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 682, 123, 87, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 386, 97, 127
• GCD of 430, 478, 21, 914
• GCD of 258, 131, 79, 710
• GCD of 896, 805, 55, 670
• GCD of 705, 438, 54, 461

1. What is the GCD of 682, 123, 87, 660?

GCD of 682, 123, 87, 660 is 1

2. Where do I get the detailed procedure to find GCD of 682, 123, 87, 660?

You can find a detailed procedure to find GCD of 682, 123, 87, 660 on our page.

3. How to find GCD of 682, 123, 87, 660 on a calculator?

You can find the GCD of 682, 123, 87, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.