GCD of 208, 160, 73, 516 Calculator

Given Input numbers are 208, 160, 73, 516

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 208, 160, 73, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 160, 73, 516 is 1.

Therefore, GCD of numbers 208, 160, 73, 516 is 1

Given Input Data is 208, 160, 73, 516

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 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 73 is 73

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(208, 160) = 2080

GCD(208, 160) = ( 208 x 160 ) / 2080

GCD(208, 160) = 33280 / 2080

GCD(208, 160) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 73

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

LCM(16, 73) = 1168

GCD(16, 73) = ( 16 x 73 ) / 1168

GCD(16, 73) = 1168 / 1168

GCD(16, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 208, 160, 73, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 166, 61, 747
• GCD of 486, 488, 63, 624
• GCD of 985, 672, 90, 761
• GCD of 901, 569, 92, 726
• GCD of 935, 420, 38, 994

1. What is the GCD of 208, 160, 73, 516?

GCD of 208, 160, 73, 516 is 1

2. Where do I get the detailed procedure to find GCD of 208, 160, 73, 516?

You can find a detailed procedure to find GCD of 208, 160, 73, 516 on our page.

3. How to find GCD of 208, 160, 73, 516 on a calculator?

You can find the GCD of 208, 160, 73, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.