GCD of 820, 830, 21, 207 Calculator

Given Input numbers are 820, 830, 21, 207

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 21

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

1, 3, 7, 21

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 820, 830, 21, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 830, 21, 207 is 1.

Therefore, GCD of numbers 820, 830, 21, 207 is 1

Given Input Data is 820, 830, 21, 207

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 21 is 3 x 7

Prime Factorization of 207 is 3 x 3 x 23

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(820, 830) = 68060

GCD(820, 830) = ( 820 x 830 ) / 68060

GCD(820, 830) = 680600 / 68060

GCD(820, 830) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 21

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

LCM(10, 21) = 210

GCD(10, 21) = ( 10 x 21 ) / 210

GCD(10, 21) = 210 / 210

GCD(10, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 820, 830, 21, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 862, 28, 959
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• GCD of 926, 586, 68, 537

1. What is the GCD of 820, 830, 21, 207?

GCD of 820, 830, 21, 207 is 1

2. Where do I get the detailed procedure to find GCD of 820, 830, 21, 207?

You can find a detailed procedure to find GCD of 820, 830, 21, 207 on our page.

3. How to find GCD of 820, 830, 21, 207 on a calculator?

You can find the GCD of 820, 830, 21, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.