GCD of 846, 300, 925, 388 Calculator

Given Input numbers are 846, 300, 925, 388

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 846, 300, 925, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 300, 925, 388 is 1.

Therefore, GCD of numbers 846, 300, 925, 388 is 1

Given Input Data is 846, 300, 925, 388

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 388 is 2 x 2 x 97

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(846, 300) = 42300

GCD(846, 300) = ( 846 x 300 ) / 42300

GCD(846, 300) = 253800 / 42300

GCD(846, 300) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 925

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

LCM(6, 925) = 5550

GCD(6, 925) = ( 6 x 925 ) / 5550

GCD(6, 925) = 5550 / 5550

GCD(6, 925) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 846, 300, 925, 388 is 1

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1. What is the GCD of 846, 300, 925, 388?

GCD of 846, 300, 925, 388 is 1

2. Where do I get the detailed procedure to find GCD of 846, 300, 925, 388?

You can find a detailed procedure to find GCD of 846, 300, 925, 388 on our page.

3. How to find GCD of 846, 300, 925, 388 on a calculator?

You can find the GCD of 846, 300, 925, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.