GCD of 115, 689, 951, 456 Calculator

Given Input numbers are 115, 689, 951, 456

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 115, 689, 951, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 689, 951, 456 is 1.

Therefore, GCD of numbers 115, 689, 951, 456 is 1

Given Input Data is 115, 689, 951, 456

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 689 is 13 x 53

Prime Factorization of 951 is 3 x 317

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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, 689) = 79235

GCD(115, 689) = ( 115 x 689 ) / 79235

GCD(115, 689) = 79235 / 79235

GCD(115, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 951

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

LCM(1, 951) = 951

GCD(1, 951) = ( 1 x 951 ) / 951

GCD(1, 951) = 951 / 951

GCD(1, 951) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 115, 689, 951, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 964, 687, 781
• GCD of 636, 479, 226, 647
• GCD of 629, 574, 405, 902
• GCD of 385, 381, 623, 324
• GCD of 125, 812, 805, 264

1. What is the GCD of 115, 689, 951, 456?

GCD of 115, 689, 951, 456 is 1

2. Where do I get the detailed procedure to find GCD of 115, 689, 951, 456?

You can find a detailed procedure to find GCD of 115, 689, 951, 456 on our page.

3. How to find GCD of 115, 689, 951, 456 on a calculator?

You can find the GCD of 115, 689, 951, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.