GCD of 686, 976, 756 Calculator

Given Input numbers are 686, 976, 756

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 686, 976, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 976, 756 is 2.

Therefore, GCD of numbers 686, 976, 756 is 2

Given Input Data is 686, 976, 756

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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, 976) = 334768

GCD(686, 976) = ( 686 x 976 ) / 334768

GCD(686, 976) = 669536 / 334768

GCD(686, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 686, 976, 756 is 2

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1. What is the GCD of 686, 976, 756?

GCD of 686, 976, 756 is 2

2. Where do I get the detailed procedure to find GCD of 686, 976, 756?

You can find a detailed procedure to find GCD of 686, 976, 756 on our page.

3. How to find GCD of 686, 976, 756 on a calculator?

You can find the GCD of 686, 976, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.