GCD of 830, 504, 56, 505 Calculator

Given Input numbers are 830, 504, 56, 505

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 830, 504, 56, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 504, 56, 505 is 1.

Therefore, GCD of numbers 830, 504, 56, 505 is 1

Given Input Data is 830, 504, 56, 505

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

Prime Factorization of 830 is 2 x 5 x 83

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 505 is 5 x 101

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(830, 504) = 209160

GCD(830, 504) = ( 830 x 504 ) / 209160

GCD(830, 504) = 418320 / 209160

GCD(830, 504) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

GCD of 830, 504, 56, 505 is 1

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1. What is the GCD of 830, 504, 56, 505?

GCD of 830, 504, 56, 505 is 1

2. Where do I get the detailed procedure to find GCD of 830, 504, 56, 505?

You can find a detailed procedure to find GCD of 830, 504, 56, 505 on our page.

3. How to find GCD of 830, 504, 56, 505 on a calculator?

You can find the GCD of 830, 504, 56, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.