GCD of 890, 258, 160 Calculator

Given Input numbers are 890, 258, 160

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

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

Greatest Common Divisior

We found the divisors of 890, 258, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 258, 160 is 2.

Therefore, GCD of numbers 890, 258, 160 is 2

Given Input Data is 890, 258, 160

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 258 is 2 x 3 x 43

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

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(890, 258) = 114810

GCD(890, 258) = ( 890 x 258 ) / 114810

GCD(890, 258) = 229620 / 114810

GCD(890, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

GCD of 890, 258, 160 is 2

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1. What is the GCD of 890, 258, 160?

GCD of 890, 258, 160 is 2

2. Where do I get the detailed procedure to find GCD of 890, 258, 160?

You can find a detailed procedure to find GCD of 890, 258, 160 on our page.

3. How to find GCD of 890, 258, 160 on a calculator?

You can find the GCD of 890, 258, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.