GCD of 880, 356, 92, 563 Calculator

Given Input numbers are 880, 356, 92, 563

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 92

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

1, 2, 4, 23, 46, 92

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 880, 356, 92, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 356, 92, 563 is 1.

Therefore, GCD of numbers 880, 356, 92, 563 is 1

Given Input Data is 880, 356, 92, 563

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 356 is 2 x 2 x 89

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 563 is 563

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(880, 356) = 78320

GCD(880, 356) = ( 880 x 356 ) / 78320

GCD(880, 356) = 313280 / 78320

GCD(880, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 92

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

LCM(4, 92) = 92

GCD(4, 92) = ( 4 x 92 ) / 92

GCD(4, 92) = 368 / 92

GCD(4, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 563

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

LCM(4, 563) = 2252

GCD(4, 563) = ( 4 x 563 ) / 2252

GCD(4, 563) = 2252 / 2252

GCD(4, 563) = 1

GCD of 880, 356, 92, 563 is 1

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1. What is the GCD of 880, 356, 92, 563?

GCD of 880, 356, 92, 563 is 1

2. Where do I get the detailed procedure to find GCD of 880, 356, 92, 563?

You can find a detailed procedure to find GCD of 880, 356, 92, 563 on our page.

3. How to find GCD of 880, 356, 92, 563 on a calculator?

You can find the GCD of 880, 356, 92, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.