GCD of 116, 754, 45, 884 Calculator

Given Input numbers are 116, 754, 45, 884

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 116, 754, 45, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 754, 45, 884 is 1.

Therefore, GCD of numbers 116, 754, 45, 884 is 1

Given Input Data is 116, 754, 45, 884

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 754 is 2 x 13 x 29

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 884 is 2 x 2 x 13 x 17

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, 754) = 1508

GCD(116, 754) = ( 116 x 754 ) / 1508

GCD(116, 754) = 87464 / 1508

GCD(116, 754) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 45

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

LCM(58, 45) = 2610

GCD(58, 45) = ( 58 x 45 ) / 2610

GCD(58, 45) = 2610 / 2610

GCD(58, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 116, 754, 45, 884 is 1

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1. What is the GCD of 116, 754, 45, 884?

GCD of 116, 754, 45, 884 is 1

2. Where do I get the detailed procedure to find GCD of 116, 754, 45, 884?

You can find a detailed procedure to find GCD of 116, 754, 45, 884 on our page.

3. How to find GCD of 116, 754, 45, 884 on a calculator?

You can find the GCD of 116, 754, 45, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.