GCD of 683, 852, 78, 100 Calculator

Given Input numbers are 683, 852, 78, 100

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

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 683, 852, 78, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 852, 78, 100 is 1.

Therefore, GCD of numbers 683, 852, 78, 100 is 1

Given Input Data is 683, 852, 78, 100

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

Prime Factorization of 683 is 683

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(683, 852) = 581916

GCD(683, 852) = ( 683 x 852 ) / 581916

GCD(683, 852) = 581916 / 581916

GCD(683, 852) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 683, 852, 78, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 950, 65, 850
• GCD of 425, 348, 13, 516
• GCD of 621, 641, 49, 544
• GCD of 736, 949, 89, 342
• GCD of 288, 800, 46, 451

1. What is the GCD of 683, 852, 78, 100?

GCD of 683, 852, 78, 100 is 1

2. Where do I get the detailed procedure to find GCD of 683, 852, 78, 100?

You can find a detailed procedure to find GCD of 683, 852, 78, 100 on our page.

3. How to find GCD of 683, 852, 78, 100 on a calculator?

You can find the GCD of 683, 852, 78, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.