GCD of 878, 516, 704, 181 Calculator

Given Input numbers are 878, 516, 704, 181

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 878, 516, 704, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 516, 704, 181 is 1.

Therefore, GCD of numbers 878, 516, 704, 181 is 1

Given Input Data is 878, 516, 704, 181

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 181 is 181

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(878, 516) = 226524

GCD(878, 516) = ( 878 x 516 ) / 226524

GCD(878, 516) = 453048 / 226524

GCD(878, 516) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 181

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

LCM(2, 181) = 362

GCD(2, 181) = ( 2 x 181 ) / 362

GCD(2, 181) = 362 / 362

GCD(2, 181) = 1

GCD of 878, 516, 704, 181 is 1

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1. What is the GCD of 878, 516, 704, 181?

GCD of 878, 516, 704, 181 is 1

2. Where do I get the detailed procedure to find GCD of 878, 516, 704, 181?

You can find a detailed procedure to find GCD of 878, 516, 704, 181 on our page.

3. How to find GCD of 878, 516, 704, 181 on a calculator?

You can find the GCD of 878, 516, 704, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.