GCD of 194, 674, 292, 925 Calculator

Given Input numbers are 194, 674, 292, 925

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 194, 674, 292, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 674, 292, 925 is 1.

Therefore, GCD of numbers 194, 674, 292, 925 is 1

Given Input Data is 194, 674, 292, 925

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 674 is 2 x 337

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 925 is 5 x 5 x 37

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(194, 674) = 65378

GCD(194, 674) = ( 194 x 674 ) / 65378

GCD(194, 674) = 130756 / 65378

GCD(194, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 925

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

LCM(2, 925) = 1850

GCD(2, 925) = ( 2 x 925 ) / 1850

GCD(2, 925) = 1850 / 1850

GCD(2, 925) = 1

GCD of 194, 674, 292, 925 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 203, 213, 729
• GCD of 386, 247, 239, 701
• GCD of 505, 582, 556, 432
• GCD of 779, 867, 311, 442
• GCD of 707, 155, 568, 748

1. What is the GCD of 194, 674, 292, 925?

GCD of 194, 674, 292, 925 is 1

2. Where do I get the detailed procedure to find GCD of 194, 674, 292, 925?

You can find a detailed procedure to find GCD of 194, 674, 292, 925 on our page.

3. How to find GCD of 194, 674, 292, 925 on a calculator?

You can find the GCD of 194, 674, 292, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.