GCD of 21, 735, 830, 622 Calculator

Given Input numbers are 21, 735, 830, 622

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 21, 735, 830, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 735, 830, 622 is 1.

Therefore, GCD of numbers 21, 735, 830, 622 is 1

Given Input Data is 21, 735, 830, 622

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 622 is 2 x 311

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, 735) = 735

GCD(21, 735) = ( 21 x 735 ) / 735

GCD(21, 735) = 15435 / 735

GCD(21, 735) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 830

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

LCM(21, 830) = 17430

GCD(21, 830) = ( 21 x 830 ) / 17430

GCD(21, 830) = 17430 / 17430

GCD(21, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 21, 735, 830, 622 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 505, 346, 402
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• GCD of 90, 999, 413, 738
• GCD of 68, 896, 580, 728
• GCD of 12, 345, 998, 881

1. What is the GCD of 21, 735, 830, 622?

GCD of 21, 735, 830, 622 is 1

2. Where do I get the detailed procedure to find GCD of 21, 735, 830, 622?

You can find a detailed procedure to find GCD of 21, 735, 830, 622 on our page.

3. How to find GCD of 21, 735, 830, 622 on a calculator?

You can find the GCD of 21, 735, 830, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.