GCD of 392, 175, 490, 188 Calculator

Given Input numbers are 392, 175, 490, 188

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 392, 175, 490, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 175, 490, 188 is 1.

Therefore, GCD of numbers 392, 175, 490, 188 is 1

Given Input Data is 392, 175, 490, 188

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 188 is 2 x 2 x 47

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(392, 175) = 9800

GCD(392, 175) = ( 392 x 175 ) / 9800

GCD(392, 175) = 68600 / 9800

GCD(392, 175) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 490

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

LCM(7, 490) = 490

GCD(7, 490) = ( 7 x 490 ) / 490

GCD(7, 490) = 3430 / 490

GCD(7, 490) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 188

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

LCM(7, 188) = 1316

GCD(7, 188) = ( 7 x 188 ) / 1316

GCD(7, 188) = 1316 / 1316

GCD(7, 188) = 1

GCD of 392, 175, 490, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 219, 682, 866
• GCD of 345, 398, 752, 250
• GCD of 342, 765, 287, 283
• GCD of 872, 607, 199, 771
• GCD of 983, 208, 391, 222

1. What is the GCD of 392, 175, 490, 188?

GCD of 392, 175, 490, 188 is 1

2. Where do I get the detailed procedure to find GCD of 392, 175, 490, 188?

You can find a detailed procedure to find GCD of 392, 175, 490, 188 on our page.

3. How to find GCD of 392, 175, 490, 188 on a calculator?

You can find the GCD of 392, 175, 490, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.