GCD of 686, 964, 716 Calculator

Given Input numbers are 686, 964, 716

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 686, 964, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 964, 716 is 2.

Therefore, GCD of numbers 686, 964, 716 is 2

Given Input Data is 686, 964, 716

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 716 is 2 x 2 x 179

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(686, 964) = 330652

GCD(686, 964) = ( 686 x 964 ) / 330652

GCD(686, 964) = 661304 / 330652

GCD(686, 964) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

GCD of 686, 964, 716 is 2

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1. What is the GCD of 686, 964, 716?

GCD of 686, 964, 716 is 2

2. Where do I get the detailed procedure to find GCD of 686, 964, 716?

You can find a detailed procedure to find GCD of 686, 964, 716 on our page.

3. How to find GCD of 686, 964, 716 on a calculator?

You can find the GCD of 686, 964, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.