GCD of 474, 410, 126 Calculator

Given Input numbers are 474, 410, 126

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

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 474, 410, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 410, 126 is 2.

Therefore, GCD of numbers 474, 410, 126 is 2

Given Input Data is 474, 410, 126

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 410 is 2 x 5 x 41

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(474, 410) = 97170

GCD(474, 410) = ( 474 x 410 ) / 97170

GCD(474, 410) = 194340 / 97170

GCD(474, 410) = 2

Step2:

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 474, 410, 126 is 2

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1. What is the GCD of 474, 410, 126?

GCD of 474, 410, 126 is 2

2. Where do I get the detailed procedure to find GCD of 474, 410, 126?

You can find a detailed procedure to find GCD of 474, 410, 126 on our page.

3. How to find GCD of 474, 410, 126 on a calculator?

You can find the GCD of 474, 410, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.