GCD of 854, 455, 353, 126 Calculator

Given Input numbers are 854, 455, 353, 126

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 854, 455, 353, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 455, 353, 126 is 1.

Therefore, GCD of numbers 854, 455, 353, 126 is 1

Given Input Data is 854, 455, 353, 126

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 353 is 353

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

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(854, 455) = 55510

GCD(854, 455) = ( 854 x 455 ) / 55510

GCD(854, 455) = 388570 / 55510

GCD(854, 455) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 353

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

LCM(7, 353) = 2471

GCD(7, 353) = ( 7 x 353 ) / 2471

GCD(7, 353) = 2471 / 2471

GCD(7, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 854, 455, 353, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 370, 757, 407
• GCD of 653, 206, 461, 898
• GCD of 455, 322, 135, 715
• GCD of 444, 881, 183, 578
• GCD of 846, 437, 461, 916

1. What is the GCD of 854, 455, 353, 126?

GCD of 854, 455, 353, 126 is 1

2. Where do I get the detailed procedure to find GCD of 854, 455, 353, 126?

You can find a detailed procedure to find GCD of 854, 455, 353, 126 on our page.

3. How to find GCD of 854, 455, 353, 126 on a calculator?

You can find the GCD of 854, 455, 353, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.