GCD of 208, 486, 60, 706 Calculator

Given Input numbers are 208, 486, 60, 706

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 208, 486, 60, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 486, 60, 706 is 2.

Therefore, GCD of numbers 208, 486, 60, 706 is 2

Given Input Data is 208, 486, 60, 706

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 60 is 2 x 2 x 3 x 5

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(208, 486) = 50544

GCD(208, 486) = ( 208 x 486 ) / 50544

GCD(208, 486) = 101088 / 50544

GCD(208, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 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 208, 486, 60, 706 is 2

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• GCD of 158, 857, 78, 930
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• GCD of 381, 961, 95, 513

1. What is the GCD of 208, 486, 60, 706?

GCD of 208, 486, 60, 706 is 2

2. Where do I get the detailed procedure to find GCD of 208, 486, 60, 706?

You can find a detailed procedure to find GCD of 208, 486, 60, 706 on our page.

3. How to find GCD of 208, 486, 60, 706 on a calculator?

You can find the GCD of 208, 486, 60, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.