GCD of 861, 903, 143, 676 Calculator

Given Input numbers are 861, 903, 143, 676

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

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 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 861, 903, 143, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 903, 143, 676 is 1.

Therefore, GCD of numbers 861, 903, 143, 676 is 1

Given Input Data is 861, 903, 143, 676

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 143 is 11 x 13

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(861, 903) = 37023

GCD(861, 903) = ( 861 x 903 ) / 37023

GCD(861, 903) = 777483 / 37023

GCD(861, 903) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 143

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

LCM(21, 143) = 3003

GCD(21, 143) = ( 21 x 143 ) / 3003

GCD(21, 143) = 3003 / 3003

GCD(21, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 861, 903, 143, 676 is 1

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1. What is the GCD of 861, 903, 143, 676?

GCD of 861, 903, 143, 676 is 1

2. Where do I get the detailed procedure to find GCD of 861, 903, 143, 676?

You can find a detailed procedure to find GCD of 861, 903, 143, 676 on our page.

3. How to find GCD of 861, 903, 143, 676 on a calculator?

You can find the GCD of 861, 903, 143, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.