GCD of 988, 926, 826, 446 Calculator

Given Input numbers are 988, 926, 826, 446

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 988, 926, 826, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 926, 826, 446 is 2.

Therefore, GCD of numbers 988, 926, 826, 446 is 2

Given Input Data is 988, 926, 826, 446

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 926 is 2 x 463

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 446 is 2 x 223

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(988, 926) = 457444

GCD(988, 926) = ( 988 x 926 ) / 457444

GCD(988, 926) = 914888 / 457444

GCD(988, 926) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

GCD of 988, 926, 826, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 256, 594, 387
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• GCD of 990, 146, 552, 526

1. What is the GCD of 988, 926, 826, 446?

GCD of 988, 926, 826, 446 is 2

2. Where do I get the detailed procedure to find GCD of 988, 926, 826, 446?

You can find a detailed procedure to find GCD of 988, 926, 826, 446 on our page.

3. How to find GCD of 988, 926, 826, 446 on a calculator?

You can find the GCD of 988, 926, 826, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.