GCD of 861, 703, 84, 820 Calculator

Given Input numbers are 861, 703, 84, 820

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 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 861, 703, 84, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 703, 84, 820 is 1.

Therefore, GCD of numbers 861, 703, 84, 820 is 1

Given Input Data is 861, 703, 84, 820

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 703 is 19 x 37

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 820 is 2 x 2 x 5 x 41

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, 703) = 605283

GCD(861, 703) = ( 861 x 703 ) / 605283

GCD(861, 703) = 605283 / 605283

GCD(861, 703) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 861, 703, 84, 820 is 1

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1. What is the GCD of 861, 703, 84, 820?

GCD of 861, 703, 84, 820 is 1

2. Where do I get the detailed procedure to find GCD of 861, 703, 84, 820?

You can find a detailed procedure to find GCD of 861, 703, 84, 820 on our page.

3. How to find GCD of 861, 703, 84, 820 on a calculator?

You can find the GCD of 861, 703, 84, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.