GCD of 116, 376, 565 Calculator

Given Input numbers are 116, 376, 565

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 116, 376, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 376, 565 is 1.

Therefore, GCD of numbers 116, 376, 565 is 1

Given Input Data is 116, 376, 565

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 376 is 2 x 2 x 2 x 47

Prime Factorization of 565 is 5 x 113

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, 376) = 10904

GCD(116, 376) = ( 116 x 376 ) / 10904

GCD(116, 376) = 43616 / 10904

GCD(116, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 565

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

LCM(4, 565) = 2260

GCD(4, 565) = ( 4 x 565 ) / 2260

GCD(4, 565) = 2260 / 2260

GCD(4, 565) = 1

GCD of 116, 376, 565 is 1

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• GCD of 707, 307, 345
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1. What is the GCD of 116, 376, 565?

GCD of 116, 376, 565 is 1

2. Where do I get the detailed procedure to find GCD of 116, 376, 565?

You can find a detailed procedure to find GCD of 116, 376, 565 on our page.

3. How to find GCD of 116, 376, 565 on a calculator?

You can find the GCD of 116, 376, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.