GCD of 856, 802, 666, 830 Calculator

Given Input numbers are 856, 802, 666, 830

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 802

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

1, 2, 401, 802

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 856, 802, 666, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 802, 666, 830 is 2.

Therefore, GCD of numbers 856, 802, 666, 830 is 2

Given Input Data is 856, 802, 666, 830

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 802 is 2 x 401

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 830 is 2 x 5 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(856, 802) = 343256

GCD(856, 802) = ( 856 x 802 ) / 343256

GCD(856, 802) = 686512 / 343256

GCD(856, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 666

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

LCM(2, 666) = 666

GCD(2, 666) = ( 2 x 666 ) / 666

GCD(2, 666) = 1332 / 666

GCD(2, 666) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

GCD of 856, 802, 666, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 266, 316, 756
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1. What is the GCD of 856, 802, 666, 830?

GCD of 856, 802, 666, 830 is 2

2. Where do I get the detailed procedure to find GCD of 856, 802, 666, 830?

You can find a detailed procedure to find GCD of 856, 802, 666, 830 on our page.

3. How to find GCD of 856, 802, 666, 830 on a calculator?

You can find the GCD of 856, 802, 666, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.