GCD of 10, 737, 681, 213 Calculator

Given Input numbers are 10, 737, 681, 213

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 10, 737, 681, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 737, 681, 213 is 1.

Therefore, GCD of numbers 10, 737, 681, 213 is 1

Given Input Data is 10, 737, 681, 213

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 737 is 11 x 67

Prime Factorization of 681 is 3 x 227

Prime Factorization of 213 is 3 x 71

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(10, 737) = 7370

GCD(10, 737) = ( 10 x 737 ) / 7370

GCD(10, 737) = 7370 / 7370

GCD(10, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 10, 737, 681, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 105, 713, 437
• GCD of 25, 196, 574, 668
• GCD of 91, 838, 115, 430
• GCD of 22, 658, 370, 976
• GCD of 49, 963, 999, 130

1. What is the GCD of 10, 737, 681, 213?

GCD of 10, 737, 681, 213 is 1

2. Where do I get the detailed procedure to find GCD of 10, 737, 681, 213?

You can find a detailed procedure to find GCD of 10, 737, 681, 213 on our page.

3. How to find GCD of 10, 737, 681, 213 on a calculator?

You can find the GCD of 10, 737, 681, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.