GCD of 502, 856, 854, 741 Calculator

Given Input numbers are 502, 856, 854, 741

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 502, 856, 854, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 856, 854, 741 is 1.

Therefore, GCD of numbers 502, 856, 854, 741 is 1

Given Input Data is 502, 856, 854, 741

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 741 is 3 x 13 x 19

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(502, 856) = 214856

GCD(502, 856) = ( 502 x 856 ) / 214856

GCD(502, 856) = 429712 / 214856

GCD(502, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

GCD of 502, 856, 854, 741 is 1

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1. What is the GCD of 502, 856, 854, 741?

GCD of 502, 856, 854, 741 is 1

2. Where do I get the detailed procedure to find GCD of 502, 856, 854, 741?

You can find a detailed procedure to find GCD of 502, 856, 854, 741 on our page.

3. How to find GCD of 502, 856, 854, 741 on a calculator?

You can find the GCD of 502, 856, 854, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.