GCD of 190, 274, 993, 704 Calculator

Given Input numbers are 190, 274, 993, 704

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 190, 274, 993, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 274, 993, 704 is 1.

Therefore, GCD of numbers 190, 274, 993, 704 is 1

Given Input Data is 190, 274, 993, 704

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 274 is 2 x 137

Prime Factorization of 993 is 3 x 331

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(190, 274) = 26030

GCD(190, 274) = ( 190 x 274 ) / 26030

GCD(190, 274) = 52060 / 26030

GCD(190, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 993

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

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

GCD(2, 993) = 1986 / 1986

GCD(2, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 190, 274, 993, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 405, 766, 243
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• GCD of 317, 692, 866, 533

1. What is the GCD of 190, 274, 993, 704?

GCD of 190, 274, 993, 704 is 1

2. Where do I get the detailed procedure to find GCD of 190, 274, 993, 704?

You can find a detailed procedure to find GCD of 190, 274, 993, 704 on our page.

3. How to find GCD of 190, 274, 993, 704 on a calculator?

You can find the GCD of 190, 274, 993, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.