GCD of 706, 850, 52, 788 Calculator

Given Input numbers are 706, 850, 52, 788

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 706, 850, 52, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 850, 52, 788 is 2.

Therefore, GCD of numbers 706, 850, 52, 788 is 2

Given Input Data is 706, 850, 52, 788

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 788 is 2 x 2 x 197

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, 850) = 300050

GCD(706, 850) = ( 706 x 850 ) / 300050

GCD(706, 850) = 600100 / 300050

GCD(706, 850) = 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 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 706, 850, 52, 788 is 2

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1. What is the GCD of 706, 850, 52, 788?

GCD of 706, 850, 52, 788 is 2

2. Where do I get the detailed procedure to find GCD of 706, 850, 52, 788?

You can find a detailed procedure to find GCD of 706, 850, 52, 788 on our page.

3. How to find GCD of 706, 850, 52, 788 on a calculator?

You can find the GCD of 706, 850, 52, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.