GCD of 827, 124, 260, 446 Calculator

Given Input numbers are 827, 124, 260, 446

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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 827, 124, 260, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 124, 260, 446 is 1.

Therefore, GCD of numbers 827, 124, 260, 446 is 1

Given Input Data is 827, 124, 260, 446

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

Prime Factorization of 827 is 827

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 446 is 2 x 223

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(827, 124) = 102548

GCD(827, 124) = ( 827 x 124 ) / 102548

GCD(827, 124) = 102548 / 102548

GCD(827, 124) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 827, 124, 260, 446 is 1

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1. What is the GCD of 827, 124, 260, 446?

GCD of 827, 124, 260, 446 is 1

2. Where do I get the detailed procedure to find GCD of 827, 124, 260, 446?

You can find a detailed procedure to find GCD of 827, 124, 260, 446 on our page.

3. How to find GCD of 827, 124, 260, 446 on a calculator?

You can find the GCD of 827, 124, 260, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.