GCD of 912, 875, 586, 734 Calculator

Given Input numbers are 912, 875, 586, 734

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 912, 875, 586, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 875, 586, 734 is 1.

Therefore, GCD of numbers 912, 875, 586, 734 is 1

Given Input Data is 912, 875, 586, 734

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 586 is 2 x 293

Prime Factorization of 734 is 2 x 367

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(912, 875) = 798000

GCD(912, 875) = ( 912 x 875 ) / 798000

GCD(912, 875) = 798000 / 798000

GCD(912, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 912, 875, 586, 734 is 1

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1. What is the GCD of 912, 875, 586, 734?

GCD of 912, 875, 586, 734 is 1

2. Where do I get the detailed procedure to find GCD of 912, 875, 586, 734?

You can find a detailed procedure to find GCD of 912, 875, 586, 734 on our page.

3. How to find GCD of 912, 875, 586, 734 on a calculator?

You can find the GCD of 912, 875, 586, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.