GCD of 116, 880, 411, 560 Calculator

Given Input numbers are 116, 880, 411, 560

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 116, 880, 411, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 880, 411, 560 is 1.

Therefore, GCD of numbers 116, 880, 411, 560 is 1

Given Input Data is 116, 880, 411, 560

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

Prime Factorization of 116 is 2 x 2 x 29

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

Prime Factorization of 411 is 3 x 137

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(116, 880) = 25520

GCD(116, 880) = ( 116 x 880 ) / 25520

GCD(116, 880) = 102080 / 25520

GCD(116, 880) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 411

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

LCM(4, 411) = 1644

GCD(4, 411) = ( 4 x 411 ) / 1644

GCD(4, 411) = 1644 / 1644

GCD(4, 411) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 116, 880, 411, 560 is 1

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1. What is the GCD of 116, 880, 411, 560?

GCD of 116, 880, 411, 560 is 1

2. Where do I get the detailed procedure to find GCD of 116, 880, 411, 560?

You can find a detailed procedure to find GCD of 116, 880, 411, 560 on our page.

3. How to find GCD of 116, 880, 411, 560 on a calculator?

You can find the GCD of 116, 880, 411, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.