GCD of 126, 286, 746, 404 Calculator

Given Input numbers are 126, 286, 746, 404

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 126, 286, 746, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 286, 746, 404 is 2.

Therefore, GCD of numbers 126, 286, 746, 404 is 2

Given Input Data is 126, 286, 746, 404

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 286 is 2 x 11 x 13

Prime Factorization of 746 is 2 x 373

Prime Factorization of 404 is 2 x 2 x 101

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, 286) = 18018

GCD(126, 286) = ( 126 x 286 ) / 18018

GCD(126, 286) = 36036 / 18018

GCD(126, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 126, 286, 746, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 261, 225, 968
• GCD of 790, 596, 854, 285
• GCD of 245, 520, 718, 278
• GCD of 507, 756, 438, 147
• GCD of 946, 801, 652, 300

1. What is the GCD of 126, 286, 746, 404?

GCD of 126, 286, 746, 404 is 2

2. Where do I get the detailed procedure to find GCD of 126, 286, 746, 404?

You can find a detailed procedure to find GCD of 126, 286, 746, 404 on our page.

3. How to find GCD of 126, 286, 746, 404 on a calculator?

You can find the GCD of 126, 286, 746, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.