GCD of 678, 234, 53, 310 Calculator

Given Input numbers are 678, 234, 53, 310

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 310

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

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

Greatest Common Divisior

We found the divisors of 678, 234, 53, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 234, 53, 310 is 1.

Therefore, GCD of numbers 678, 234, 53, 310 is 1

Given Input Data is 678, 234, 53, 310

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 53 is 53

Prime Factorization of 310 is 2 x 5 x 31

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(678, 234) = 26442

GCD(678, 234) = ( 678 x 234 ) / 26442

GCD(678, 234) = 158652 / 26442

GCD(678, 234) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 53

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

LCM(6, 53) = 318

GCD(6, 53) = ( 6 x 53 ) / 318

GCD(6, 53) = 318 / 318

GCD(6, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 678, 234, 53, 310 is 1

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• GCD of 904, 469, 82, 592
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• GCD of 797, 110, 35, 325

1. What is the GCD of 678, 234, 53, 310?

GCD of 678, 234, 53, 310 is 1

2. Where do I get the detailed procedure to find GCD of 678, 234, 53, 310?

You can find a detailed procedure to find GCD of 678, 234, 53, 310 on our page.

3. How to find GCD of 678, 234, 53, 310 on a calculator?

You can find the GCD of 678, 234, 53, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.