GCD of 166, 506, 65, 678 Calculator

Given Input numbers are 166, 506, 65, 678

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 506

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

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 166, 506, 65, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 506, 65, 678 is 1.

Therefore, GCD of numbers 166, 506, 65, 678 is 1

Given Input Data is 166, 506, 65, 678

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 65 is 5 x 13

Prime Factorization of 678 is 2 x 3 x 113

The above numbers do not have any common prime factor. So GCD is 1

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(166, 506) = 41998

GCD(166, 506) = ( 166 x 506 ) / 41998

GCD(166, 506) = 83996 / 41998

GCD(166, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 166, 506, 65, 678 is 1

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1. What is the GCD of 166, 506, 65, 678?

GCD of 166, 506, 65, 678 is 1

2. Where do I get the detailed procedure to find GCD of 166, 506, 65, 678?

You can find a detailed procedure to find GCD of 166, 506, 65, 678 on our page.

3. How to find GCD of 166, 506, 65, 678 on a calculator?

You can find the GCD of 166, 506, 65, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.