GCD of 159, 318, 693, 210 Calculator

Given Input numbers are 159, 318, 693, 210

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 159, 318, 693, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 318, 693, 210 is 3.

Therefore, GCD of numbers 159, 318, 693, 210 is 3

Given Input Data is 159, 318, 693, 210

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 210 is 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(159, 318) = 318

GCD(159, 318) = ( 159 x 318 ) / 318

GCD(159, 318) = 50562 / 318

GCD(159, 318) = 159

Step2:

Here we consider the GCD from the above i.e. 159 as first number and the next as 693

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

LCM(159, 693) = 36729

GCD(159, 693) = ( 159 x 693 ) / 36729

GCD(159, 693) = 110187 / 36729

GCD(159, 693) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 210

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

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

GCD(3, 210) = 630 / 210

GCD(3, 210) = 3

GCD of 159, 318, 693, 210 is 3

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1. What is the GCD of 159, 318, 693, 210?

GCD of 159, 318, 693, 210 is 3

2. Where do I get the detailed procedure to find GCD of 159, 318, 693, 210?

You can find a detailed procedure to find GCD of 159, 318, 693, 210 on our page.

3. How to find GCD of 159, 318, 693, 210 on a calculator?

You can find the GCD of 159, 318, 693, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.