GCD of 705, 821, 21, 209 Calculator

Given Input numbers are 705, 821, 21, 209

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 21

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

1, 3, 7, 21

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 705, 821, 21, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 821, 21, 209 is 1.

Therefore, GCD of numbers 705, 821, 21, 209 is 1

Given Input Data is 705, 821, 21, 209

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 821 is 821

Prime Factorization of 21 is 3 x 7

Prime Factorization of 209 is 11 x 19

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(705, 821) = 578805

GCD(705, 821) = ( 705 x 821 ) / 578805

GCD(705, 821) = 578805 / 578805

GCD(705, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 705, 821, 21, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 395, 54, 953
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• GCD of 935, 251, 48, 933
• GCD of 809, 995, 59, 438

1. What is the GCD of 705, 821, 21, 209?

GCD of 705, 821, 21, 209 is 1

2. Where do I get the detailed procedure to find GCD of 705, 821, 21, 209?

You can find a detailed procedure to find GCD of 705, 821, 21, 209 on our page.

3. How to find GCD of 705, 821, 21, 209 on a calculator?

You can find the GCD of 705, 821, 21, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.