GCD of 160, 206, 80, 518 Calculator

Given Input numbers are 160, 206, 80, 518

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

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 160, 206, 80, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 206, 80, 518 is 2.

Therefore, GCD of numbers 160, 206, 80, 518 is 2

Given Input Data is 160, 206, 80, 518

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 206 is 2 x 103

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 518 is 2 x 7 x 37

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(160, 206) = 16480

GCD(160, 206) = ( 160 x 206 ) / 16480

GCD(160, 206) = 32960 / 16480

GCD(160, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 518

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

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

GCD(2, 518) = 1036 / 518

GCD(2, 518) = 2

GCD of 160, 206, 80, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 714, 76, 687
• GCD of 399, 271, 51, 140
• GCD of 243, 949, 52, 495
• GCD of 972, 376, 18, 908
• GCD of 528, 469, 81, 498

1. What is the GCD of 160, 206, 80, 518?

GCD of 160, 206, 80, 518 is 2

2. Where do I get the detailed procedure to find GCD of 160, 206, 80, 518?

You can find a detailed procedure to find GCD of 160, 206, 80, 518 on our page.

3. How to find GCD of 160, 206, 80, 518 on a calculator?

You can find the GCD of 160, 206, 80, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.