GCD of 126, 826, 622, 769 Calculator

Given Input numbers are 126, 826, 622, 769

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 126, 826, 622, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 826, 622, 769 is 1.

Therefore, GCD of numbers 126, 826, 622, 769 is 1

Given Input Data is 126, 826, 622, 769

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 826 is 2 x 7 x 59

Prime Factorization of 622 is 2 x 311

Prime Factorization of 769 is 769

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, 826) = 7434

GCD(126, 826) = ( 126 x 826 ) / 7434

GCD(126, 826) = 104076 / 7434

GCD(126, 826) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 622

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

LCM(14, 622) = 4354

GCD(14, 622) = ( 14 x 622 ) / 4354

GCD(14, 622) = 8708 / 4354

GCD(14, 622) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

GCD of 126, 826, 622, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 587, 114, 784
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• GCD of 708, 794, 720, 284

1. What is the GCD of 126, 826, 622, 769?

GCD of 126, 826, 622, 769 is 1

2. Where do I get the detailed procedure to find GCD of 126, 826, 622, 769?

You can find a detailed procedure to find GCD of 126, 826, 622, 769 on our page.

3. How to find GCD of 126, 826, 622, 769 on a calculator?

You can find the GCD of 126, 826, 622, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.