GCD of 217, 185, 63, 743 Calculator

Given Input numbers are 217, 185, 63, 743

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 217, 185, 63, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 185, 63, 743 is 1.

Therefore, GCD of numbers 217, 185, 63, 743 is 1

Given Input Data is 217, 185, 63, 743

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 185 is 5 x 37

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 743 is 743

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, 185) = 40145

GCD(217, 185) = ( 217 x 185 ) / 40145

GCD(217, 185) = 40145 / 40145

GCD(217, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 217, 185, 63, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 950, 37, 750
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• GCD of 531, 642, 29, 624
• GCD of 460, 549, 82, 907
• GCD of 455, 697, 16, 290

1. What is the GCD of 217, 185, 63, 743?

GCD of 217, 185, 63, 743 is 1

2. Where do I get the detailed procedure to find GCD of 217, 185, 63, 743?

You can find a detailed procedure to find GCD of 217, 185, 63, 743 on our page.

3. How to find GCD of 217, 185, 63, 743 on a calculator?

You can find the GCD of 217, 185, 63, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.