GCD of 567, 341, 714 Calculator

Given Input numbers are 567, 341, 714

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

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

Greatest Common Divisior

We found the divisors of 567, 341, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 341, 714 is 1.

Therefore, GCD of numbers 567, 341, 714 is 1

Given Input Data is 567, 341, 714

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 341 is 11 x 31

Prime Factorization of 714 is 2 x 3 x 7 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(567, 341) = 193347

GCD(567, 341) = ( 567 x 341 ) / 193347

GCD(567, 341) = 193347 / 193347

GCD(567, 341) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 567, 341, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 459, 388
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• GCD of 856, 539, 987
• GCD of 343, 275, 131

1. What is the GCD of 567, 341, 714?

GCD of 567, 341, 714 is 1

2. Where do I get the detailed procedure to find GCD of 567, 341, 714?

You can find a detailed procedure to find GCD of 567, 341, 714 on our page.

3. How to find GCD of 567, 341, 714 on a calculator?

You can find the GCD of 567, 341, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.