GCD of 538, 600, 49, 217 Calculator

Given Input numbers are 538, 600, 49, 217

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 217

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

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 538, 600, 49, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 600, 49, 217 is 1.

Therefore, GCD of numbers 538, 600, 49, 217 is 1

Given Input Data is 538, 600, 49, 217

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 49 is 7 x 7

Prime Factorization of 217 is 7 x 31

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(538, 600) = 161400

GCD(538, 600) = ( 538 x 600 ) / 161400

GCD(538, 600) = 322800 / 161400

GCD(538, 600) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 538, 600, 49, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 957, 80, 785
• GCD of 818, 646, 44, 297
• GCD of 831, 862, 87, 186
• GCD of 100, 635, 19, 727
• GCD of 478, 728, 81, 570

1. What is the GCD of 538, 600, 49, 217?

GCD of 538, 600, 49, 217 is 1

2. Where do I get the detailed procedure to find GCD of 538, 600, 49, 217?

You can find a detailed procedure to find GCD of 538, 600, 49, 217 on our page.

3. How to find GCD of 538, 600, 49, 217 on a calculator?

You can find the GCD of 538, 600, 49, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.