GCD of 425, 714, 667, 867 Calculator

Given Input numbers are 425, 714, 667, 867

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

Divisors of 425

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

1, 5, 17, 25, 85, 425

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 425, 714, 667, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 714, 667, 867 is 1.

Therefore, GCD of numbers 425, 714, 667, 867 is 1

Given Input Data is 425, 714, 667, 867

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

Prime Factorization of 425 is 5 x 5 x 17

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 867 is 3 x 17 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(425, 714) = 17850

GCD(425, 714) = ( 425 x 714 ) / 17850

GCD(425, 714) = 303450 / 17850

GCD(425, 714) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 667

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

LCM(17, 667) = 11339

GCD(17, 667) = ( 17 x 667 ) / 11339

GCD(17, 667) = 11339 / 11339

GCD(17, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 425, 714, 667, 867 is 1

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1. What is the GCD of 425, 714, 667, 867?

GCD of 425, 714, 667, 867 is 1

2. Where do I get the detailed procedure to find GCD of 425, 714, 667, 867?

You can find a detailed procedure to find GCD of 425, 714, 667, 867 on our page.

3. How to find GCD of 425, 714, 667, 867 on a calculator?

You can find the GCD of 425, 714, 667, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.