GCD of 868, 606, 52, 706 Calculator

Given Input numbers are 868, 606, 52, 706

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 706

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

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 868, 606, 52, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 606, 52, 706 is 2.

Therefore, GCD of numbers 868, 606, 52, 706 is 2

Given Input Data is 868, 606, 52, 706

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 706 is 2 x 353

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(868, 606) = 263004

GCD(868, 606) = ( 868 x 606 ) / 263004

GCD(868, 606) = 526008 / 263004

GCD(868, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

GCD of 868, 606, 52, 706 is 2

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1. What is the GCD of 868, 606, 52, 706?

GCD of 868, 606, 52, 706 is 2

2. Where do I get the detailed procedure to find GCD of 868, 606, 52, 706?

You can find a detailed procedure to find GCD of 868, 606, 52, 706 on our page.

3. How to find GCD of 868, 606, 52, 706 on a calculator?

You can find the GCD of 868, 606, 52, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.