GCD of 442, 916, 926, 705 Calculator

Given Input numbers are 442, 916, 926, 705

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

Divisors of 442

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

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 926

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

1, 2, 463, 926

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 442, 916, 926, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 916, 926, 705 is 1.

Therefore, GCD of numbers 442, 916, 926, 705 is 1

Given Input Data is 442, 916, 926, 705

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 926 is 2 x 463

Prime Factorization of 705 is 3 x 5 x 47

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(442, 916) = 202436

GCD(442, 916) = ( 442 x 916 ) / 202436

GCD(442, 916) = 404872 / 202436

GCD(442, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

GCD of 442, 916, 926, 705 is 1

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1. What is the GCD of 442, 916, 926, 705?

GCD of 442, 916, 926, 705 is 1

2. Where do I get the detailed procedure to find GCD of 442, 916, 926, 705?

You can find a detailed procedure to find GCD of 442, 916, 926, 705 on our page.

3. How to find GCD of 442, 916, 926, 705 on a calculator?

You can find the GCD of 442, 916, 926, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.