GCD of 878, 874, 716, 226 Calculator

Given Input numbers are 878, 874, 716, 226

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 874

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

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 878, 874, 716, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 874, 716, 226 is 2.

Therefore, GCD of numbers 878, 874, 716, 226 is 2

Given Input Data is 878, 874, 716, 226

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 226 is 2 x 113

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, 874) = 383686

GCD(878, 874) = ( 878 x 874 ) / 383686

GCD(878, 874) = 767372 / 383686

GCD(878, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 878, 874, 716, 226 is 2

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1. What is the GCD of 878, 874, 716, 226?

GCD of 878, 874, 716, 226 is 2

2. Where do I get the detailed procedure to find GCD of 878, 874, 716, 226?

You can find a detailed procedure to find GCD of 878, 874, 716, 226 on our page.

3. How to find GCD of 878, 874, 716, 226 on a calculator?

You can find the GCD of 878, 874, 716, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.