GCD of 318, 175, 68, 278 Calculator

Given Input numbers are 318, 175, 68, 278

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 318, 175, 68, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 175, 68, 278 is 1.

Therefore, GCD of numbers 318, 175, 68, 278 is 1

Given Input Data is 318, 175, 68, 278

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 278 is 2 x 139

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(318, 175) = 55650

GCD(318, 175) = ( 318 x 175 ) / 55650

GCD(318, 175) = 55650 / 55650

GCD(318, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 318, 175, 68, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 405, 73, 719
• GCD of 989, 897, 99, 626
• GCD of 325, 104, 22, 522
• GCD of 310, 701, 18, 624
• GCD of 795, 864, 48, 301

1. What is the GCD of 318, 175, 68, 278?

GCD of 318, 175, 68, 278 is 1

2. Where do I get the detailed procedure to find GCD of 318, 175, 68, 278?

You can find a detailed procedure to find GCD of 318, 175, 68, 278 on our page.

3. How to find GCD of 318, 175, 68, 278 on a calculator?

You can find the GCD of 318, 175, 68, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.