GCD of 887, 313, 938, 305 Calculator

Given Input numbers are 887, 313, 938, 305

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

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 887, 313, 938, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 887, 313, 938, 305 is 1.

Therefore, GCD of numbers 887, 313, 938, 305 is 1

Given Input Data is 887, 313, 938, 305

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

Prime Factorization of 887 is 887

Prime Factorization of 313 is 313

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 305 is 5 x 61

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(887, 313) = 277631

GCD(887, 313) = ( 887 x 313 ) / 277631

GCD(887, 313) = 277631 / 277631

GCD(887, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 887, 313, 938, 305 is 1

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1. What is the GCD of 887, 313, 938, 305?

GCD of 887, 313, 938, 305 is 1

2. Where do I get the detailed procedure to find GCD of 887, 313, 938, 305?

You can find a detailed procedure to find GCD of 887, 313, 938, 305 on our page.

3. How to find GCD of 887, 313, 938, 305 on a calculator?

You can find the GCD of 887, 313, 938, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.