GCD of 126, 354, 623, 835 Calculator

Given Input numbers are 126, 354, 623, 835

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 126, 354, 623, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 354, 623, 835 is 1.

Therefore, GCD of numbers 126, 354, 623, 835 is 1

Given Input Data is 126, 354, 623, 835

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 354 is 2 x 3 x 59

Prime Factorization of 623 is 7 x 89

Prime Factorization of 835 is 5 x 167

The above numbers do not have any common prime factor. So GCD is 1

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, 354) = 7434

GCD(126, 354) = ( 126 x 354 ) / 7434

GCD(126, 354) = 44604 / 7434

GCD(126, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 623

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

LCM(6, 623) = 3738

GCD(6, 623) = ( 6 x 623 ) / 3738

GCD(6, 623) = 3738 / 3738

GCD(6, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 126, 354, 623, 835 is 1

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• GCD of 369, 897, 128, 196
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1. What is the GCD of 126, 354, 623, 835?

GCD of 126, 354, 623, 835 is 1

2. Where do I get the detailed procedure to find GCD of 126, 354, 623, 835?

You can find a detailed procedure to find GCD of 126, 354, 623, 835 on our page.

3. How to find GCD of 126, 354, 623, 835 on a calculator?

You can find the GCD of 126, 354, 623, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.