GCD of 115, 715, 31, 946 Calculator

Given Input numbers are 115, 715, 31, 946

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 115, 715, 31, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 715, 31, 946 is 1.

Therefore, GCD of numbers 115, 715, 31, 946 is 1

Given Input Data is 115, 715, 31, 946

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 31 is 31

Prime Factorization of 946 is 2 x 11 x 43

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, 715) = 16445

GCD(115, 715) = ( 115 x 715 ) / 16445

GCD(115, 715) = 82225 / 16445

GCD(115, 715) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 31

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

LCM(5, 31) = 155

GCD(5, 31) = ( 5 x 31 ) / 155

GCD(5, 31) = 155 / 155

GCD(5, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 115, 715, 31, 946 is 1

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1. What is the GCD of 115, 715, 31, 946?

GCD of 115, 715, 31, 946 is 1

2. Where do I get the detailed procedure to find GCD of 115, 715, 31, 946?

You can find a detailed procedure to find GCD of 115, 715, 31, 946 on our page.

3. How to find GCD of 115, 715, 31, 946 on a calculator?

You can find the GCD of 115, 715, 31, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.