GCD of 310, 174, 74, 251 Calculator

Given Input numbers are 310, 174, 74, 251

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 310, 174, 74, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 174, 74, 251 is 1.

Therefore, GCD of numbers 310, 174, 74, 251 is 1

Given Input Data is 310, 174, 74, 251

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 74 is 2 x 37

Prime Factorization of 251 is 251

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(310, 174) = 26970

GCD(310, 174) = ( 310 x 174 ) / 26970

GCD(310, 174) = 53940 / 26970

GCD(310, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

GCD of 310, 174, 74, 251 is 1

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1. What is the GCD of 310, 174, 74, 251?

GCD of 310, 174, 74, 251 is 1

2. Where do I get the detailed procedure to find GCD of 310, 174, 74, 251?

You can find a detailed procedure to find GCD of 310, 174, 74, 251 on our page.

3. How to find GCD of 310, 174, 74, 251 on a calculator?

You can find the GCD of 310, 174, 74, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.