GCD of 308, 925, 312, 890 Calculator

Given Input numbers are 308, 925, 312, 890

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 308, 925, 312, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 925, 312, 890 is 1.

Therefore, GCD of numbers 308, 925, 312, 890 is 1

Given Input Data is 308, 925, 312, 890

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 925 is 5 x 5 x 37

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

Prime Factorization of 890 is 2 x 5 x 89

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(308, 925) = 284900

GCD(308, 925) = ( 308 x 925 ) / 284900

GCD(308, 925) = 284900 / 284900

GCD(308, 925) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 308, 925, 312, 890 is 1

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1. What is the GCD of 308, 925, 312, 890?

GCD of 308, 925, 312, 890 is 1

2. Where do I get the detailed procedure to find GCD of 308, 925, 312, 890?

You can find a detailed procedure to find GCD of 308, 925, 312, 890 on our page.

3. How to find GCD of 308, 925, 312, 890 on a calculator?

You can find the GCD of 308, 925, 312, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.