GCD of 714, 734, 425 Calculator

Given Input numbers are 714, 734, 425

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 714, 734, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 734, 425 is 1.

Therefore, GCD of numbers 714, 734, 425 is 1

Given Input Data is 714, 734, 425

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 734 is 2 x 367

Prime Factorization of 425 is 5 x 5 x 17

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(714, 734) = 262038

GCD(714, 734) = ( 714 x 734 ) / 262038

GCD(714, 734) = 524076 / 262038

GCD(714, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 425

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

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

GCD(2, 425) = 850 / 850

GCD(2, 425) = 1

GCD of 714, 734, 425 is 1

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• GCD of 569, 854, 704
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1. What is the GCD of 714, 734, 425?

GCD of 714, 734, 425 is 1

2. Where do I get the detailed procedure to find GCD of 714, 734, 425?

You can find a detailed procedure to find GCD of 714, 734, 425 on our page.

3. How to find GCD of 714, 734, 425 on a calculator?

You can find the GCD of 714, 734, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.