GCD of 92, 826, 649, 442 Calculator

Given Input numbers are 92, 826, 649, 442

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 92, 826, 649, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 826, 649, 442 is 1.

Therefore, GCD of numbers 92, 826, 649, 442 is 1

Given Input Data is 92, 826, 649, 442

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 649 is 11 x 59

Prime Factorization of 442 is 2 x 13 x 17

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(92, 826) = 37996

GCD(92, 826) = ( 92 x 826 ) / 37996

GCD(92, 826) = 75992 / 37996

GCD(92, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 649

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

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

GCD(2, 649) = 1298 / 1298

GCD(2, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 92, 826, 649, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 530, 801, 897
• GCD of 73, 488, 896, 137
• GCD of 57, 100, 669, 831
• GCD of 43, 265, 917, 426
• GCD of 89, 596, 515, 569

1. What is the GCD of 92, 826, 649, 442?

GCD of 92, 826, 649, 442 is 1

2. Where do I get the detailed procedure to find GCD of 92, 826, 649, 442?

You can find a detailed procedure to find GCD of 92, 826, 649, 442 on our page.

3. How to find GCD of 92, 826, 649, 442 on a calculator?

You can find the GCD of 92, 826, 649, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.