GCD of 51, 838, 428, 126 Calculator

Given Input numbers are 51, 838, 428, 126

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 51, 838, 428, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 838, 428, 126 is 1.

Therefore, GCD of numbers 51, 838, 428, 126 is 1

Given Input Data is 51, 838, 428, 126

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 838 is 2 x 419

Prime Factorization of 428 is 2 x 2 x 107

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(51, 838) = 42738

GCD(51, 838) = ( 51 x 838 ) / 42738

GCD(51, 838) = 42738 / 42738

GCD(51, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 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 51, 838, 428, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 317, 319, 798
• GCD of 52, 712, 725, 480
• GCD of 69, 995, 729, 576
• GCD of 56, 786, 148, 428
• GCD of 38, 337, 926, 190

1. What is the GCD of 51, 838, 428, 126?

GCD of 51, 838, 428, 126 is 1

2. Where do I get the detailed procedure to find GCD of 51, 838, 428, 126?

You can find a detailed procedure to find GCD of 51, 838, 428, 126 on our page.

3. How to find GCD of 51, 838, 428, 126 on a calculator?

You can find the GCD of 51, 838, 428, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.