GCD of 924, 303, 847, 686 Calculator

Given Input numbers are 924, 303, 847, 686

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 924, 303, 847, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 303, 847, 686 is 1.

Therefore, GCD of numbers 924, 303, 847, 686 is 1

Given Input Data is 924, 303, 847, 686

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 303 is 3 x 101

Prime Factorization of 847 is 7 x 11 x 11

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

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(924, 303) = 93324

GCD(924, 303) = ( 924 x 303 ) / 93324

GCD(924, 303) = 279972 / 93324

GCD(924, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 847

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

LCM(3, 847) = 2541

GCD(3, 847) = ( 3 x 847 ) / 2541

GCD(3, 847) = 2541 / 2541

GCD(3, 847) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 924, 303, 847, 686 is 1

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1. What is the GCD of 924, 303, 847, 686?

GCD of 924, 303, 847, 686 is 1

2. Where do I get the detailed procedure to find GCD of 924, 303, 847, 686?

You can find a detailed procedure to find GCD of 924, 303, 847, 686 on our page.

3. How to find GCD of 924, 303, 847, 686 on a calculator?

You can find the GCD of 924, 303, 847, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.