GCD of 21, 899, 206, 737 Calculator

Given Input numbers are 21, 899, 206, 737

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 737

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

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 21, 899, 206, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 899, 206, 737 is 1.

Therefore, GCD of numbers 21, 899, 206, 737 is 1

Given Input Data is 21, 899, 206, 737

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 899 is 29 x 31

Prime Factorization of 206 is 2 x 103

Prime Factorization of 737 is 11 x 67

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(21, 899) = 18879

GCD(21, 899) = ( 21 x 899 ) / 18879

GCD(21, 899) = 18879 / 18879

GCD(21, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 21, 899, 206, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 144, 557, 472
• GCD of 53, 114, 169, 151
• GCD of 66, 533, 294, 203
• GCD of 85, 516, 316, 362
• GCD of 64, 296, 247, 849

1. What is the GCD of 21, 899, 206, 737?

GCD of 21, 899, 206, 737 is 1

2. Where do I get the detailed procedure to find GCD of 21, 899, 206, 737?

You can find a detailed procedure to find GCD of 21, 899, 206, 737 on our page.

3. How to find GCD of 21, 899, 206, 737 on a calculator?

You can find the GCD of 21, 899, 206, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.