GCD of 966, 986, 58, 164 Calculator

Given Input numbers are 966, 986, 58, 164

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 966, 986, 58, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 986, 58, 164 is 2.

Therefore, GCD of numbers 966, 986, 58, 164 is 2

Given Input Data is 966, 986, 58, 164

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 58 is 2 x 29

Prime Factorization of 164 is 2 x 2 x 41

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(966, 986) = 476238

GCD(966, 986) = ( 966 x 986 ) / 476238

GCD(966, 986) = 952476 / 476238

GCD(966, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 966, 986, 58, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 149, 39, 412
• GCD of 545, 616, 59, 771
• GCD of 309, 246, 34, 493
• GCD of 867, 574, 33, 544
• GCD of 175, 625, 24, 330

1. What is the GCD of 966, 986, 58, 164?

GCD of 966, 986, 58, 164 is 2

2. Where do I get the detailed procedure to find GCD of 966, 986, 58, 164?

You can find a detailed procedure to find GCD of 966, 986, 58, 164 on our page.

3. How to find GCD of 966, 986, 58, 164 on a calculator?

You can find the GCD of 966, 986, 58, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.