GCD of 633, 930, 42, 754 Calculator

Given Input numbers are 633, 930, 42, 754

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 633, 930, 42, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 930, 42, 754 is 1.

Therefore, GCD of numbers 633, 930, 42, 754 is 1

Given Input Data is 633, 930, 42, 754

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 754 is 2 x 13 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(633, 930) = 196230

GCD(633, 930) = ( 633 x 930 ) / 196230

GCD(633, 930) = 588690 / 196230

GCD(633, 930) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 754

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

LCM(3, 754) = 2262

GCD(3, 754) = ( 3 x 754 ) / 2262

GCD(3, 754) = 2262 / 2262

GCD(3, 754) = 1

GCD of 633, 930, 42, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 257, 69, 532
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• GCD of 169, 361, 44, 132

1. What is the GCD of 633, 930, 42, 754?

GCD of 633, 930, 42, 754 is 1

2. Where do I get the detailed procedure to find GCD of 633, 930, 42, 754?

You can find a detailed procedure to find GCD of 633, 930, 42, 754 on our page.

3. How to find GCD of 633, 930, 42, 754 on a calculator?

You can find the GCD of 633, 930, 42, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.