GCD of 505, 856, 753, 749 Calculator

Given Input numbers are 505, 856, 753, 749

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 856

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

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 505, 856, 753, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 856, 753, 749 is 1.

Therefore, GCD of numbers 505, 856, 753, 749 is 1

Given Input Data is 505, 856, 753, 749

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

Prime Factorization of 505 is 5 x 101

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 749 is 7 x 107

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, 856) = 432280

GCD(505, 856) = ( 505 x 856 ) / 432280

GCD(505, 856) = 432280 / 432280

GCD(505, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 505, 856, 753, 749 is 1

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1. What is the GCD of 505, 856, 753, 749?

GCD of 505, 856, 753, 749 is 1

2. Where do I get the detailed procedure to find GCD of 505, 856, 753, 749?

You can find a detailed procedure to find GCD of 505, 856, 753, 749 on our page.

3. How to find GCD of 505, 856, 753, 749 on a calculator?

You can find the GCD of 505, 856, 753, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.