GCD of 706, 946, 506 Calculator

Given Input numbers are 706, 946, 506

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 706, 946, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 946, 506 is 2.

Therefore, GCD of numbers 706, 946, 506 is 2

Given Input Data is 706, 946, 506

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 506 is 2 x 11 x 23

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, 946) = 333938

GCD(706, 946) = ( 706 x 946 ) / 333938

GCD(706, 946) = 667876 / 333938

GCD(706, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 706, 946, 506 is 2

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1. What is the GCD of 706, 946, 506?

GCD of 706, 946, 506 is 2

2. Where do I get the detailed procedure to find GCD of 706, 946, 506?

You can find a detailed procedure to find GCD of 706, 946, 506 on our page.

3. How to find GCD of 706, 946, 506 on a calculator?

You can find the GCD of 706, 946, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.