GCD of 90, 686, 861, 393 Calculator

Given Input numbers are 90, 686, 861, 393

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 90, 686, 861, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 686, 861, 393 is 1.

Therefore, GCD of numbers 90, 686, 861, 393 is 1

Given Input Data is 90, 686, 861, 393

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 393 is 3 x 131

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(90, 686) = 30870

GCD(90, 686) = ( 90 x 686 ) / 30870

GCD(90, 686) = 61740 / 30870

GCD(90, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 90, 686, 861, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 679, 128, 826
• GCD of 57, 267, 233, 490
• GCD of 60, 259, 945, 977
• GCD of 48, 292, 391, 729
• GCD of 28, 989, 531, 569

1. What is the GCD of 90, 686, 861, 393?

GCD of 90, 686, 861, 393 is 1

2. Where do I get the detailed procedure to find GCD of 90, 686, 861, 393?

You can find a detailed procedure to find GCD of 90, 686, 861, 393 on our page.

3. How to find GCD of 90, 686, 861, 393 on a calculator?

You can find the GCD of 90, 686, 861, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.