GCD of 394, 725, 740, 688 Calculator

Given Input numbers are 394, 725, 740, 688

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 394, 725, 740, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 725, 740, 688 is 1.

Therefore, GCD of numbers 394, 725, 740, 688 is 1

Given Input Data is 394, 725, 740, 688

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(394, 725) = 285650

GCD(394, 725) = ( 394 x 725 ) / 285650

GCD(394, 725) = 285650 / 285650

GCD(394, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 394, 725, 740, 688 is 1

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1. What is the GCD of 394, 725, 740, 688?

GCD of 394, 725, 740, 688 is 1

2. Where do I get the detailed procedure to find GCD of 394, 725, 740, 688?

You can find a detailed procedure to find GCD of 394, 725, 740, 688 on our page.

3. How to find GCD of 394, 725, 740, 688 on a calculator?

You can find the GCD of 394, 725, 740, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.