GCD of 505, 212, 884, 745 Calculator

Given Input numbers are 505, 212, 884, 745

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

Divisors of 505

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

1, 5, 101, 505

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 505, 212, 884, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 212, 884, 745 is 1.

Therefore, GCD of numbers 505, 212, 884, 745 is 1

Given Input Data is 505, 212, 884, 745

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 745 is 5 x 149

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(505, 212) = 107060

GCD(505, 212) = ( 505 x 212 ) / 107060

GCD(505, 212) = 107060 / 107060

GCD(505, 212) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 505, 212, 884, 745 is 1

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1. What is the GCD of 505, 212, 884, 745?

GCD of 505, 212, 884, 745 is 1

2. Where do I get the detailed procedure to find GCD of 505, 212, 884, 745?

You can find a detailed procedure to find GCD of 505, 212, 884, 745 on our page.

3. How to find GCD of 505, 212, 884, 745 on a calculator?

You can find the GCD of 505, 212, 884, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.