GCD of 874, 953, 205, 815 Calculator

Given Input numbers are 874, 953, 205, 815

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

Divisors of 874

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

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

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 815

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

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 874, 953, 205, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 953, 205, 815 is 1.

Therefore, GCD of numbers 874, 953, 205, 815 is 1

Given Input Data is 874, 953, 205, 815

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 953 is 953

Prime Factorization of 205 is 5 x 41

Prime Factorization of 815 is 5 x 163

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(874, 953) = 832922

GCD(874, 953) = ( 874 x 953 ) / 832922

GCD(874, 953) = 832922 / 832922

GCD(874, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

GCD of 874, 953, 205, 815 is 1

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1. What is the GCD of 874, 953, 205, 815?

GCD of 874, 953, 205, 815 is 1

2. Where do I get the detailed procedure to find GCD of 874, 953, 205, 815?

You can find a detailed procedure to find GCD of 874, 953, 205, 815 on our page.

3. How to find GCD of 874, 953, 205, 815 on a calculator?

You can find the GCD of 874, 953, 205, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.