GCD of 115, 164, 129, 649 Calculator

Given Input numbers are 115, 164, 129, 649

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 115, 164, 129, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 164, 129, 649 is 1.

Therefore, GCD of numbers 115, 164, 129, 649 is 1

Given Input Data is 115, 164, 129, 649

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 129 is 3 x 43

Prime Factorization of 649 is 11 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, 164) = 18860

GCD(115, 164) = ( 115 x 164 ) / 18860

GCD(115, 164) = 18860 / 18860

GCD(115, 164) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 115, 164, 129, 649 is 1

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1. What is the GCD of 115, 164, 129, 649?

GCD of 115, 164, 129, 649 is 1

2. Where do I get the detailed procedure to find GCD of 115, 164, 129, 649?

You can find a detailed procedure to find GCD of 115, 164, 129, 649 on our page.

3. How to find GCD of 115, 164, 129, 649 on a calculator?

You can find the GCD of 115, 164, 129, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.