GCD of 706, 168, 802 Calculator

Given Input numbers are 706, 168, 802

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 706, 168, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 168, 802 is 2.

Therefore, GCD of numbers 706, 168, 802 is 2

Given Input Data is 706, 168, 802

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 802 is 2 x 401

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(706, 168) = 59304

GCD(706, 168) = ( 706 x 168 ) / 59304

GCD(706, 168) = 118608 / 59304

GCD(706, 168) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

GCD of 706, 168, 802 is 2

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1. What is the GCD of 706, 168, 802?

GCD of 706, 168, 802 is 2

2. Where do I get the detailed procedure to find GCD of 706, 168, 802?

You can find a detailed procedure to find GCD of 706, 168, 802 on our page.

3. How to find GCD of 706, 168, 802 on a calculator?

You can find the GCD of 706, 168, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.