GCD of 231, 721, 995, 105 Calculator

Given Input numbers are 231, 721, 995, 105

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 231, 721, 995, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 721, 995, 105 is 1.

Therefore, GCD of numbers 231, 721, 995, 105 is 1

Given Input Data is 231, 721, 995, 105

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 721 is 7 x 103

Prime Factorization of 995 is 5 x 199

Prime Factorization of 105 is 3 x 5 x 7

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(231, 721) = 23793

GCD(231, 721) = ( 231 x 721 ) / 23793

GCD(231, 721) = 166551 / 23793

GCD(231, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 995

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

LCM(7, 995) = 6965

GCD(7, 995) = ( 7 x 995 ) / 6965

GCD(7, 995) = 6965 / 6965

GCD(7, 995) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 231, 721, 995, 105 is 1

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1. What is the GCD of 231, 721, 995, 105?

GCD of 231, 721, 995, 105 is 1

2. Where do I get the detailed procedure to find GCD of 231, 721, 995, 105?

You can find a detailed procedure to find GCD of 231, 721, 995, 105 on our page.

3. How to find GCD of 231, 721, 995, 105 on a calculator?

You can find the GCD of 231, 721, 995, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.