GCD of 802, 464, 872, 119 Calculator

Given Input numbers are 802, 464, 872, 119

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 802, 464, 872, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 464, 872, 119 is 1.

Therefore, GCD of numbers 802, 464, 872, 119 is 1

Given Input Data is 802, 464, 872, 119

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 119 is 7 x 17

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(802, 464) = 186064

GCD(802, 464) = ( 802 x 464 ) / 186064

GCD(802, 464) = 372128 / 186064

GCD(802, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

GCD of 802, 464, 872, 119 is 1

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1. What is the GCD of 802, 464, 872, 119?

GCD of 802, 464, 872, 119 is 1

2. Where do I get the detailed procedure to find GCD of 802, 464, 872, 119?

You can find a detailed procedure to find GCD of 802, 464, 872, 119 on our page.

3. How to find GCD of 802, 464, 872, 119 on a calculator?

You can find the GCD of 802, 464, 872, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.