GCD of 346, 126, 992 Calculator

Given Input numbers are 346, 126, 992

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

Greatest Common Divisior

We found the divisors of 346, 126, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 126, 992 is 2.

Therefore, GCD of numbers 346, 126, 992 is 2

Given Input Data is 346, 126, 992

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 126 is 2 x 3 x 3 x 7

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

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(346, 126) = 21798

GCD(346, 126) = ( 346 x 126 ) / 21798

GCD(346, 126) = 43596 / 21798

GCD(346, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

GCD of 346, 126, 992 is 2

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1. What is the GCD of 346, 126, 992?

GCD of 346, 126, 992 is 2

2. Where do I get the detailed procedure to find GCD of 346, 126, 992?

You can find a detailed procedure to find GCD of 346, 126, 992 on our page.

3. How to find GCD of 346, 126, 992 on a calculator?

You can find the GCD of 346, 126, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.