GCD of 46, 574, 284, 126 Calculator

Given Input numbers are 46, 574, 284, 126

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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

Greatest Common Divisior

We found the divisors of 46, 574, 284, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 574, 284, 126 is 2.

Therefore, GCD of numbers 46, 574, 284, 126 is 2

Given Input Data is 46, 574, 284, 126

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 284 is 2 x 2 x 71

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

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(46, 574) = 13202

GCD(46, 574) = ( 46 x 574 ) / 13202

GCD(46, 574) = 26404 / 13202

GCD(46, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

GCD of 46, 574, 284, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 223, 324, 399
• GCD of 53, 725, 303, 714
• GCD of 33, 948, 159, 425
• GCD of 29, 206, 147, 724
• GCD of 19, 784, 284, 240

1. What is the GCD of 46, 574, 284, 126?

GCD of 46, 574, 284, 126 is 2

2. Where do I get the detailed procedure to find GCD of 46, 574, 284, 126?

You can find a detailed procedure to find GCD of 46, 574, 284, 126 on our page.

3. How to find GCD of 46, 574, 284, 126 on a calculator?

You can find the GCD of 46, 574, 284, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.