GCD of 684, 733, 147, 353 Calculator

Given Input numbers are 684, 733, 147, 353

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 684, 733, 147, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 733, 147, 353 is 1.

Therefore, GCD of numbers 684, 733, 147, 353 is 1

Given Input Data is 684, 733, 147, 353

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 733 is 733

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 353 is 353

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(684, 733) = 501372

GCD(684, 733) = ( 684 x 733 ) / 501372

GCD(684, 733) = 501372 / 501372

GCD(684, 733) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 684, 733, 147, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 405, 601, 471
• GCD of 413, 845, 527, 937
• GCD of 507, 146, 778, 883
• GCD of 179, 570, 774, 541
• GCD of 719, 271, 571, 862

1. What is the GCD of 684, 733, 147, 353?

GCD of 684, 733, 147, 353 is 1

2. Where do I get the detailed procedure to find GCD of 684, 733, 147, 353?

You can find a detailed procedure to find GCD of 684, 733, 147, 353 on our page.

3. How to find GCD of 684, 733, 147, 353 on a calculator?

You can find the GCD of 684, 733, 147, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.