GCD of 303, 648, 74, 686 Calculator

Given Input numbers are 303, 648, 74, 686

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

Divisors of 303

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

1, 3, 101, 303

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 303, 648, 74, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 648, 74, 686 is 1.

Therefore, GCD of numbers 303, 648, 74, 686 is 1

Given Input Data is 303, 648, 74, 686

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 74 is 2 x 37

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(303, 648) = 65448

GCD(303, 648) = ( 303 x 648 ) / 65448

GCD(303, 648) = 196344 / 65448

GCD(303, 648) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 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 303, 648, 74, 686 is 1

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1. What is the GCD of 303, 648, 74, 686?

GCD of 303, 648, 74, 686 is 1

2. Where do I get the detailed procedure to find GCD of 303, 648, 74, 686?

You can find a detailed procedure to find GCD of 303, 648, 74, 686 on our page.

3. How to find GCD of 303, 648, 74, 686 on a calculator?

You can find the GCD of 303, 648, 74, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.