GCD of 880, 878, 92, 478 Calculator

Given Input numbers are 880, 878, 92, 478

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 878

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

1, 2, 439, 878

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 880, 878, 92, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 878, 92, 478 is 2.

Therefore, GCD of numbers 880, 878, 92, 478 is 2

Given Input Data is 880, 878, 92, 478

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 878 is 2 x 439

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 478 is 2 x 239

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(880, 878) = 386320

GCD(880, 878) = ( 880 x 878 ) / 386320

GCD(880, 878) = 772640 / 386320

GCD(880, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

GCD of 880, 878, 92, 478 is 2

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1. What is the GCD of 880, 878, 92, 478?

GCD of 880, 878, 92, 478 is 2

2. Where do I get the detailed procedure to find GCD of 880, 878, 92, 478?

You can find a detailed procedure to find GCD of 880, 878, 92, 478 on our page.

3. How to find GCD of 880, 878, 92, 478 on a calculator?

You can find the GCD of 880, 878, 92, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.