GCD of 21, 549, 700, 841 Calculator

Given Input numbers are 21, 549, 700, 841

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 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 21, 549, 700, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 549, 700, 841 is 1.

Therefore, GCD of numbers 21, 549, 700, 841 is 1

Given Input Data is 21, 549, 700, 841

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 841 is 29 x 29

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, 549) = 3843

GCD(21, 549) = ( 21 x 549 ) / 3843

GCD(21, 549) = 11529 / 3843

GCD(21, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 700

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

LCM(3, 700) = 2100

GCD(3, 700) = ( 3 x 700 ) / 2100

GCD(3, 700) = 2100 / 2100

GCD(3, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 21, 549, 700, 841 is 1

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• GCD of 86, 692, 377, 995
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1. What is the GCD of 21, 549, 700, 841?

GCD of 21, 549, 700, 841 is 1

2. Where do I get the detailed procedure to find GCD of 21, 549, 700, 841?

You can find a detailed procedure to find GCD of 21, 549, 700, 841 on our page.

3. How to find GCD of 21, 549, 700, 841 on a calculator?

You can find the GCD of 21, 549, 700, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.