GCD of 41, 504, 508, 826 Calculator

Given Input numbers are 41, 504, 508, 826

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 826

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

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

Greatest Common Divisior

We found the divisors of 41, 504, 508, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 504, 508, 826 is 1.

Therefore, GCD of numbers 41, 504, 508, 826 is 1

Given Input Data is 41, 504, 508, 826

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

Prime Factorization of 41 is 41

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 826 is 2 x 7 x 59

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(41, 504) = 20664

GCD(41, 504) = ( 41 x 504 ) / 20664

GCD(41, 504) = 20664 / 20664

GCD(41, 504) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 41, 504, 508, 826 is 1

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• GCD of 81, 156, 546, 417
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• GCD of 83, 537, 898, 306

1. What is the GCD of 41, 504, 508, 826?

GCD of 41, 504, 508, 826 is 1

2. Where do I get the detailed procedure to find GCD of 41, 504, 508, 826?

You can find a detailed procedure to find GCD of 41, 504, 508, 826 on our page.

3. How to find GCD of 41, 504, 508, 826 on a calculator?

You can find the GCD of 41, 504, 508, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.