GCD of 815, 860, 55, 874 Calculator

Given Input numbers are 815, 860, 55, 874

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

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 815, 860, 55, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 860, 55, 874 is 1.

Therefore, GCD of numbers 815, 860, 55, 874 is 1

Given Input Data is 815, 860, 55, 874

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

Prime Factorization of 815 is 5 x 163

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 55 is 5 x 11

Prime Factorization of 874 is 2 x 19 x 23

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(815, 860) = 140180

GCD(815, 860) = ( 815 x 860 ) / 140180

GCD(815, 860) = 700900 / 140180

GCD(815, 860) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 55

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

LCM(5, 55) = 55

GCD(5, 55) = ( 5 x 55 ) / 55

GCD(5, 55) = 275 / 55

GCD(5, 55) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 874

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

LCM(5, 874) = 4370

GCD(5, 874) = ( 5 x 874 ) / 4370

GCD(5, 874) = 4370 / 4370

GCD(5, 874) = 1

GCD of 815, 860, 55, 874 is 1

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1. What is the GCD of 815, 860, 55, 874?

GCD of 815, 860, 55, 874 is 1

2. Where do I get the detailed procedure to find GCD of 815, 860, 55, 874?

You can find a detailed procedure to find GCD of 815, 860, 55, 874 on our page.

3. How to find GCD of 815, 860, 55, 874 on a calculator?

You can find the GCD of 815, 860, 55, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.