GCD of 886, 714, 694 Calculator

Given Input numbers are 886, 714, 694

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

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 886, 714, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 714, 694 is 2.

Therefore, GCD of numbers 886, 714, 694 is 2

Given Input Data is 886, 714, 694

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

Prime Factorization of 886 is 2 x 443

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

Prime Factorization of 694 is 2 x 347

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(886, 714) = 316302

GCD(886, 714) = ( 886 x 714 ) / 316302

GCD(886, 714) = 632604 / 316302

GCD(886, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 886, 714, 694 is 2

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1. What is the GCD of 886, 714, 694?

GCD of 886, 714, 694 is 2

2. Where do I get the detailed procedure to find GCD of 886, 714, 694?

You can find a detailed procedure to find GCD of 886, 714, 694 on our page.

3. How to find GCD of 886, 714, 694 on a calculator?

You can find the GCD of 886, 714, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.