GCD of 116, 925, 41, 747 Calculator

Given Input numbers are 116, 925, 41, 747

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 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 116, 925, 41, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 925, 41, 747 is 1.

Therefore, GCD of numbers 116, 925, 41, 747 is 1

Given Input Data is 116, 925, 41, 747

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 925 is 5 x 5 x 37

Prime Factorization of 41 is 41

Prime Factorization of 747 is 3 x 3 x 83

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, 925) = 107300

GCD(116, 925) = ( 116 x 925 ) / 107300

GCD(116, 925) = 107300 / 107300

GCD(116, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 116, 925, 41, 747 is 1

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1. What is the GCD of 116, 925, 41, 747?

GCD of 116, 925, 41, 747 is 1

2. Where do I get the detailed procedure to find GCD of 116, 925, 41, 747?

You can find a detailed procedure to find GCD of 116, 925, 41, 747 on our page.

3. How to find GCD of 116, 925, 41, 747 on a calculator?

You can find the GCD of 116, 925, 41, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.