GCD of 126, 412, 76, 846 Calculator

Given Input numbers are 126, 412, 76, 846

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

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 126, 412, 76, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 412, 76, 846 is 2.

Therefore, GCD of numbers 126, 412, 76, 846 is 2

Given Input Data is 126, 412, 76, 846

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

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(126, 412) = 25956

GCD(126, 412) = ( 126 x 412 ) / 25956

GCD(126, 412) = 51912 / 25956

GCD(126, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

GCD of 126, 412, 76, 846 is 2

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• GCD of 184, 322, 79, 181
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1. What is the GCD of 126, 412, 76, 846?

GCD of 126, 412, 76, 846 is 2

2. Where do I get the detailed procedure to find GCD of 126, 412, 76, 846?

You can find a detailed procedure to find GCD of 126, 412, 76, 846 on our page.

3. How to find GCD of 126, 412, 76, 846 on a calculator?

You can find the GCD of 126, 412, 76, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.