GCD of 964, 166, 36, 890 Calculator

Given Input numbers are 964, 166, 36, 890

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 166

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

1, 2, 83, 166

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 890

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

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

Greatest Common Divisior

We found the divisors of 964, 166, 36, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 166, 36, 890 is 2.

Therefore, GCD of numbers 964, 166, 36, 890 is 2

Given Input Data is 964, 166, 36, 890

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 166 is 2 x 83

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 890 is 2 x 5 x 89

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(964, 166) = 80012

GCD(964, 166) = ( 964 x 166 ) / 80012

GCD(964, 166) = 160024 / 80012

GCD(964, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 964, 166, 36, 890 is 2

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1. What is the GCD of 964, 166, 36, 890?

GCD of 964, 166, 36, 890 is 2

2. Where do I get the detailed procedure to find GCD of 964, 166, 36, 890?

You can find a detailed procedure to find GCD of 964, 166, 36, 890 on our page.

3. How to find GCD of 964, 166, 36, 890 on a calculator?

You can find the GCD of 964, 166, 36, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.