GCD of 116, 748, 545 Calculator

Given Input numbers are 116, 748, 545

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 116, 748, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 748, 545 is 1.

Therefore, GCD of numbers 116, 748, 545 is 1

Given Input Data is 116, 748, 545

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 748 is 2 x 2 x 11 x 17

Prime Factorization of 545 is 5 x 109

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, 748) = 21692

GCD(116, 748) = ( 116 x 748 ) / 21692

GCD(116, 748) = 86768 / 21692

GCD(116, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 545

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

LCM(4, 545) = 2180

GCD(4, 545) = ( 4 x 545 ) / 2180

GCD(4, 545) = 2180 / 2180

GCD(4, 545) = 1

GCD of 116, 748, 545 is 1

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1. What is the GCD of 116, 748, 545?

GCD of 116, 748, 545 is 1

2. Where do I get the detailed procedure to find GCD of 116, 748, 545?

You can find a detailed procedure to find GCD of 116, 748, 545 on our page.

3. How to find GCD of 116, 748, 545 on a calculator?

You can find the GCD of 116, 748, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.