GCD of 50, 925, 195, 643 Calculator

Given Input numbers are 50, 925, 195, 643

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 50, 925, 195, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 925, 195, 643 is 1.

Therefore, GCD of numbers 50, 925, 195, 643 is 1

Given Input Data is 50, 925, 195, 643

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 643 is 643

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(50, 925) = 1850

GCD(50, 925) = ( 50 x 925 ) / 1850

GCD(50, 925) = 46250 / 1850

GCD(50, 925) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 195

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

LCM(25, 195) = 975

GCD(25, 195) = ( 25 x 195 ) / 975

GCD(25, 195) = 4875 / 975

GCD(25, 195) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 643

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

LCM(5, 643) = 3215

GCD(5, 643) = ( 5 x 643 ) / 3215

GCD(5, 643) = 3215 / 3215

GCD(5, 643) = 1

GCD of 50, 925, 195, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 376, 954, 263
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• GCD of 83, 247, 234, 686
• GCD of 24, 891, 676, 135

1. What is the GCD of 50, 925, 195, 643?

GCD of 50, 925, 195, 643 is 1

2. Where do I get the detailed procedure to find GCD of 50, 925, 195, 643?

You can find a detailed procedure to find GCD of 50, 925, 195, 643 on our page.

3. How to find GCD of 50, 925, 195, 643 on a calculator?

You can find the GCD of 50, 925, 195, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.