GCD of 384, 737, 19, 175 Calculator

Given Input numbers are 384, 737, 19, 175

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 19

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

1, 19

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 384, 737, 19, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 737, 19, 175 is 1.

Therefore, GCD of numbers 384, 737, 19, 175 is 1

Given Input Data is 384, 737, 19, 175

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 737 is 11 x 67

Prime Factorization of 19 is 19

Prime Factorization of 175 is 5 x 5 x 7

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(384, 737) = 283008

GCD(384, 737) = ( 384 x 737 ) / 283008

GCD(384, 737) = 283008 / 283008

GCD(384, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 384, 737, 19, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 313, 36, 268
• GCD of 377, 444, 51, 408
• GCD of 499, 231, 59, 605
• GCD of 703, 163, 98, 635
• GCD of 818, 810, 15, 597

1. What is the GCD of 384, 737, 19, 175?

GCD of 384, 737, 19, 175 is 1

2. Where do I get the detailed procedure to find GCD of 384, 737, 19, 175?

You can find a detailed procedure to find GCD of 384, 737, 19, 175 on our page.

3. How to find GCD of 384, 737, 19, 175 on a calculator?

You can find the GCD of 384, 737, 19, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.