GCD of 742, 634, 19, 372 Calculator

Given Input numbers are 742, 634, 19, 372

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 742, 634, 19, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 634, 19, 372 is 1.

Therefore, GCD of numbers 742, 634, 19, 372 is 1

Given Input Data is 742, 634, 19, 372

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 634 is 2 x 317

Prime Factorization of 19 is 19

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(742, 634) = 235214

GCD(742, 634) = ( 742 x 634 ) / 235214

GCD(742, 634) = 470428 / 235214

GCD(742, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 742, 634, 19, 372 is 1

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1. What is the GCD of 742, 634, 19, 372?

GCD of 742, 634, 19, 372 is 1

2. Where do I get the detailed procedure to find GCD of 742, 634, 19, 372?

You can find a detailed procedure to find GCD of 742, 634, 19, 372 on our page.

3. How to find GCD of 742, 634, 19, 372 on a calculator?

You can find the GCD of 742, 634, 19, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.