GCD of 238, 310, 73, 148 Calculator

Given Input numbers are 238, 310, 73, 148

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 238, 310, 73, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 310, 73, 148 is 1.

Therefore, GCD of numbers 238, 310, 73, 148 is 1

Given Input Data is 238, 310, 73, 148

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 73 is 73

Prime Factorization of 148 is 2 x 2 x 37

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(238, 310) = 36890

GCD(238, 310) = ( 238 x 310 ) / 36890

GCD(238, 310) = 73780 / 36890

GCD(238, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 238, 310, 73, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 933, 74, 600
• GCD of 969, 571, 25, 387
• GCD of 241, 320, 73, 308
• GCD of 438, 979, 19, 340
• GCD of 324, 816, 49, 638

1. What is the GCD of 238, 310, 73, 148?

GCD of 238, 310, 73, 148 is 1

2. Where do I get the detailed procedure to find GCD of 238, 310, 73, 148?

You can find a detailed procedure to find GCD of 238, 310, 73, 148 on our page.

3. How to find GCD of 238, 310, 73, 148 on a calculator?

You can find the GCD of 238, 310, 73, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.