GCD of 953, 306, 29, 550 Calculator

Given Input numbers are 953, 306, 29, 550

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

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 953, 306, 29, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 306, 29, 550 is 1.

Therefore, GCD of numbers 953, 306, 29, 550 is 1

Given Input Data is 953, 306, 29, 550

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

Prime Factorization of 953 is 953

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 29 is 29

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(953, 306) = 291618

GCD(953, 306) = ( 953 x 306 ) / 291618

GCD(953, 306) = 291618 / 291618

GCD(953, 306) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 953, 306, 29, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 682, 24, 985
• GCD of 700, 393, 66, 409
• GCD of 304, 982, 54, 528
• GCD of 558, 643, 97, 324
• GCD of 642, 361, 66, 253

1. What is the GCD of 953, 306, 29, 550?

GCD of 953, 306, 29, 550 is 1

2. Where do I get the detailed procedure to find GCD of 953, 306, 29, 550?

You can find a detailed procedure to find GCD of 953, 306, 29, 550 on our page.

3. How to find GCD of 953, 306, 29, 550 on a calculator?

You can find the GCD of 953, 306, 29, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.