GCD of 928, 702, 21, 914 Calculator

Given Input numbers are 928, 702, 21, 914

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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 21

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

1, 3, 7, 21

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 928, 702, 21, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 702, 21, 914 is 1.

Therefore, GCD of numbers 928, 702, 21, 914 is 1

Given Input Data is 928, 702, 21, 914

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 914 is 2 x 457

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(928, 702) = 325728

GCD(928, 702) = ( 928 x 702 ) / 325728

GCD(928, 702) = 651456 / 325728

GCD(928, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 928, 702, 21, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 661, 31, 489
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• GCD of 944, 114, 54, 520

1. What is the GCD of 928, 702, 21, 914?

GCD of 928, 702, 21, 914 is 1

2. Where do I get the detailed procedure to find GCD of 928, 702, 21, 914?

You can find a detailed procedure to find GCD of 928, 702, 21, 914 on our page.

3. How to find GCD of 928, 702, 21, 914 on a calculator?

You can find the GCD of 928, 702, 21, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.