GCD of 115, 429, 55, 590 Calculator

Given Input numbers are 115, 429, 55, 590

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 115, 429, 55, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 429, 55, 590 is 1.

Therefore, GCD of numbers 115, 429, 55, 590 is 1

Given Input Data is 115, 429, 55, 590

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 55 is 5 x 11

Prime Factorization of 590 is 2 x 5 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, 429) = 49335

GCD(115, 429) = ( 115 x 429 ) / 49335

GCD(115, 429) = 49335 / 49335

GCD(115, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 115, 429, 55, 590 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 978, 21, 382
• GCD of 661, 103, 31, 560
• GCD of 318, 679, 37, 348
• GCD of 446, 227, 71, 593
• GCD of 952, 100, 18, 313

1. What is the GCD of 115, 429, 55, 590?

GCD of 115, 429, 55, 590 is 1

2. Where do I get the detailed procedure to find GCD of 115, 429, 55, 590?

You can find a detailed procedure to find GCD of 115, 429, 55, 590 on our page.

3. How to find GCD of 115, 429, 55, 590 on a calculator?

You can find the GCD of 115, 429, 55, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.