GCD of 160, 913, 206, 990 Calculator

Given Input numbers are 160, 913, 206, 990

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 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 206

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

1, 2, 103, 206

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 160, 913, 206, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 913, 206, 990 is 1.

Therefore, GCD of numbers 160, 913, 206, 990 is 1

Given Input Data is 160, 913, 206, 990

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 913 is 11 x 83

Prime Factorization of 206 is 2 x 103

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(160, 913) = 146080

GCD(160, 913) = ( 160 x 913 ) / 146080

GCD(160, 913) = 146080 / 146080

GCD(160, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 160, 913, 206, 990 is 1

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1. What is the GCD of 160, 913, 206, 990?

GCD of 160, 913, 206, 990 is 1

2. Where do I get the detailed procedure to find GCD of 160, 913, 206, 990?

You can find a detailed procedure to find GCD of 160, 913, 206, 990 on our page.

3. How to find GCD of 160, 913, 206, 990 on a calculator?

You can find the GCD of 160, 913, 206, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.