GCD of 83, 806, 960, 802 Calculator

Given Input numbers are 83, 806, 960, 802

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 83, 806, 960, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 806, 960, 802 is 1.

Therefore, GCD of numbers 83, 806, 960, 802 is 1

Given Input Data is 83, 806, 960, 802

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

Prime Factorization of 83 is 83

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 802 is 2 x 401

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(83, 806) = 66898

GCD(83, 806) = ( 83 x 806 ) / 66898

GCD(83, 806) = 66898 / 66898

GCD(83, 806) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 83, 806, 960, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 164, 129, 863
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• GCD of 85, 530, 282, 536
• GCD of 16, 308, 707, 964

1. What is the GCD of 83, 806, 960, 802?

GCD of 83, 806, 960, 802 is 1

2. Where do I get the detailed procedure to find GCD of 83, 806, 960, 802?

You can find a detailed procedure to find GCD of 83, 806, 960, 802 on our page.

3. How to find GCD of 83, 806, 960, 802 on a calculator?

You can find the GCD of 83, 806, 960, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.