GCD of 678, 188, 97, 694 Calculator

Given Input numbers are 678, 188, 97, 694

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 678, 188, 97, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 188, 97, 694 is 1.

Therefore, GCD of numbers 678, 188, 97, 694 is 1

Given Input Data is 678, 188, 97, 694

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 188 is 2 x 2 x 47

Prime Factorization of 97 is 97

Prime Factorization of 694 is 2 x 347

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, 188) = 63732

GCD(678, 188) = ( 678 x 188 ) / 63732

GCD(678, 188) = 127464 / 63732

GCD(678, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 678, 188, 97, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 387, 39, 255
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• GCD of 717, 195, 76, 978
• GCD of 130, 347, 55, 428

1. What is the GCD of 678, 188, 97, 694?

GCD of 678, 188, 97, 694 is 1

2. Where do I get the detailed procedure to find GCD of 678, 188, 97, 694?

You can find a detailed procedure to find GCD of 678, 188, 97, 694 on our page.

3. How to find GCD of 678, 188, 97, 694 on a calculator?

You can find the GCD of 678, 188, 97, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.