GCD of 992, 566, 34, 146 Calculator

Given Input numbers are 992, 566, 34, 146

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 992, 566, 34, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 566, 34, 146 is 2.

Therefore, GCD of numbers 992, 566, 34, 146 is 2

Given Input Data is 992, 566, 34, 146

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 566 is 2 x 283

Prime Factorization of 34 is 2 x 17

Prime Factorization of 146 is 2 x 73

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(992, 566) = 280736

GCD(992, 566) = ( 992 x 566 ) / 280736

GCD(992, 566) = 561472 / 280736

GCD(992, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

GCD of 992, 566, 34, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 691, 38, 346
• GCD of 915, 169, 52, 288
• GCD of 817, 371, 24, 873
• GCD of 924, 247, 72, 301
• GCD of 226, 744, 78, 984

1. What is the GCD of 992, 566, 34, 146?

GCD of 992, 566, 34, 146 is 2

2. Where do I get the detailed procedure to find GCD of 992, 566, 34, 146?

You can find a detailed procedure to find GCD of 992, 566, 34, 146 on our page.

3. How to find GCD of 992, 566, 34, 146 on a calculator?

You can find the GCD of 992, 566, 34, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.