GCD of 878, 574, 622, 464 Calculator

Given Input numbers are 878, 574, 622, 464

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

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

Greatest Common Divisior

We found the divisors of 878, 574, 622, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 574, 622, 464 is 2.

Therefore, GCD of numbers 878, 574, 622, 464 is 2

Given Input Data is 878, 574, 622, 464

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 622 is 2 x 311

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(878, 574) = 251986

GCD(878, 574) = ( 878 x 574 ) / 251986

GCD(878, 574) = 503972 / 251986

GCD(878, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 878, 574, 622, 464 is 2

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1. What is the GCD of 878, 574, 622, 464?

GCD of 878, 574, 622, 464 is 2

2. Where do I get the detailed procedure to find GCD of 878, 574, 622, 464?

You can find a detailed procedure to find GCD of 878, 574, 622, 464 on our page.

3. How to find GCD of 878, 574, 622, 464 on a calculator?

You can find the GCD of 878, 574, 622, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.