GCD of 217, 550, 71, 953 Calculator

Given Input numbers are 217, 550, 71, 953

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 953

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

1, 953

Greatest Common Divisior

We found the divisors of 217, 550, 71, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 550, 71, 953 is 1.

Therefore, GCD of numbers 217, 550, 71, 953 is 1

Given Input Data is 217, 550, 71, 953

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

Prime Factorization of 217 is 7 x 31

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

Prime Factorization of 71 is 71

Prime Factorization of 953 is 953

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(217, 550) = 119350

GCD(217, 550) = ( 217 x 550 ) / 119350

GCD(217, 550) = 119350 / 119350

GCD(217, 550) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 217, 550, 71, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 956, 81, 816
• GCD of 944, 923, 96, 259
• GCD of 342, 907, 38, 779
• GCD of 477, 511, 58, 818
• GCD of 816, 946, 31, 890

1. What is the GCD of 217, 550, 71, 953?

GCD of 217, 550, 71, 953 is 1

2. Where do I get the detailed procedure to find GCD of 217, 550, 71, 953?

You can find a detailed procedure to find GCD of 217, 550, 71, 953 on our page.

3. How to find GCD of 217, 550, 71, 953 on a calculator?

You can find the GCD of 217, 550, 71, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.