GCD of 195, 678, 71, 371 Calculator

Given Input numbers are 195, 678, 71, 371

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 195, 678, 71, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 678, 71, 371 is 1.

Therefore, GCD of numbers 195, 678, 71, 371 is 1

Given Input Data is 195, 678, 71, 371

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 71 is 71

Prime Factorization of 371 is 7 x 53

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(195, 678) = 44070

GCD(195, 678) = ( 195 x 678 ) / 44070

GCD(195, 678) = 132210 / 44070

GCD(195, 678) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 195, 678, 71, 371 is 1

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1. What is the GCD of 195, 678, 71, 371?

GCD of 195, 678, 71, 371 is 1

2. Where do I get the detailed procedure to find GCD of 195, 678, 71, 371?

You can find a detailed procedure to find GCD of 195, 678, 71, 371 on our page.

3. How to find GCD of 195, 678, 71, 371 on a calculator?

You can find the GCD of 195, 678, 71, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.