GCD of 921, 702, 556, 830 Calculator

Given Input numbers are 921, 702, 556, 830

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 830

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

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

Greatest Common Divisior

We found the divisors of 921, 702, 556, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 702, 556, 830 is 1.

Therefore, GCD of numbers 921, 702, 556, 830 is 1

Given Input Data is 921, 702, 556, 830

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 830 is 2 x 5 x 83

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(921, 702) = 215514

GCD(921, 702) = ( 921 x 702 ) / 215514

GCD(921, 702) = 646542 / 215514

GCD(921, 702) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 556

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

LCM(3, 556) = 1668

GCD(3, 556) = ( 3 x 556 ) / 1668

GCD(3, 556) = 1668 / 1668

GCD(3, 556) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 921, 702, 556, 830 is 1

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1. What is the GCD of 921, 702, 556, 830?

GCD of 921, 702, 556, 830 is 1

2. Where do I get the detailed procedure to find GCD of 921, 702, 556, 830?

You can find a detailed procedure to find GCD of 921, 702, 556, 830 on our page.

3. How to find GCD of 921, 702, 556, 830 on a calculator?

You can find the GCD of 921, 702, 556, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.