GCD of 194, 689, 758 Calculator

Given Input numbers are 194, 689, 758

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 194, 689, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 689, 758 is 1.

Therefore, GCD of numbers 194, 689, 758 is 1

Given Input Data is 194, 689, 758

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 689 is 13 x 53

Prime Factorization of 758 is 2 x 379

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(194, 689) = 133666

GCD(194, 689) = ( 194 x 689 ) / 133666

GCD(194, 689) = 133666 / 133666

GCD(194, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 194, 689, 758 is 1

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1. What is the GCD of 194, 689, 758?

GCD of 194, 689, 758 is 1

2. Where do I get the detailed procedure to find GCD of 194, 689, 758?

You can find a detailed procedure to find GCD of 194, 689, 758 on our page.

3. How to find GCD of 194, 689, 758 on a calculator?

You can find the GCD of 194, 689, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.