GCD of 899, 686, 956 Calculator

Given Input numbers are 899, 686, 956

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 899, 686, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 686, 956 is 1.

Therefore, GCD of numbers 899, 686, 956 is 1

Given Input Data is 899, 686, 956

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

Prime Factorization of 899 is 29 x 31

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

Prime Factorization of 956 is 2 x 2 x 239

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(899, 686) = 616714

GCD(899, 686) = ( 899 x 686 ) / 616714

GCD(899, 686) = 616714 / 616714

GCD(899, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 899, 686, 956 is 1

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1. What is the GCD of 899, 686, 956?

GCD of 899, 686, 956 is 1

2. Where do I get the detailed procedure to find GCD of 899, 686, 956?

You can find a detailed procedure to find GCD of 899, 686, 956 on our page.

3. How to find GCD of 899, 686, 956 on a calculator?

You can find the GCD of 899, 686, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.