GCD of 984, 750, 925, 312 Calculator

Given Input numbers are 984, 750, 925, 312

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 984, 750, 925, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 750, 925, 312 is 1.

Therefore, GCD of numbers 984, 750, 925, 312 is 1

Given Input Data is 984, 750, 925, 312

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(984, 750) = 123000

GCD(984, 750) = ( 984 x 750 ) / 123000

GCD(984, 750) = 738000 / 123000

GCD(984, 750) = 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 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 984, 750, 925, 312 is 1

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1. What is the GCD of 984, 750, 925, 312?

GCD of 984, 750, 925, 312 is 1

2. Where do I get the detailed procedure to find GCD of 984, 750, 925, 312?

You can find a detailed procedure to find GCD of 984, 750, 925, 312 on our page.

3. How to find GCD of 984, 750, 925, 312 on a calculator?

You can find the GCD of 984, 750, 925, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.