GCD of 115, 830, 41, 767 Calculator

Given Input numbers are 115, 830, 41, 767

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 41

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

1, 41

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 115, 830, 41, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 830, 41, 767 is 1.

Therefore, GCD of numbers 115, 830, 41, 767 is 1

Given Input Data is 115, 830, 41, 767

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 41 is 41

Prime Factorization of 767 is 13 x 59

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(115, 830) = 19090

GCD(115, 830) = ( 115 x 830 ) / 19090

GCD(115, 830) = 95450 / 19090

GCD(115, 830) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 41

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

LCM(5, 41) = 205

GCD(5, 41) = ( 5 x 41 ) / 205

GCD(5, 41) = 205 / 205

GCD(5, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 115, 830, 41, 767 is 1

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• GCD of 990, 492, 37, 218
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1. What is the GCD of 115, 830, 41, 767?

GCD of 115, 830, 41, 767 is 1

2. Where do I get the detailed procedure to find GCD of 115, 830, 41, 767?

You can find a detailed procedure to find GCD of 115, 830, 41, 767 on our page.

3. How to find GCD of 115, 830, 41, 767 on a calculator?

You can find the GCD of 115, 830, 41, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.