GCD of 54, 736, 693, 209 Calculator

Given Input numbers are 54, 736, 693, 209

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 54, 736, 693, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 736, 693, 209 is 1.

Therefore, GCD of numbers 54, 736, 693, 209 is 1

Given Input Data is 54, 736, 693, 209

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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

Prime Factorization of 209 is 11 x 19

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(54, 736) = 19872

GCD(54, 736) = ( 54 x 736 ) / 19872

GCD(54, 736) = 39744 / 19872

GCD(54, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 54, 736, 693, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 706, 804, 922
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• GCD of 43, 340, 484, 326
• GCD of 49, 951, 754, 173

1. What is the GCD of 54, 736, 693, 209?

GCD of 54, 736, 693, 209 is 1

2. Where do I get the detailed procedure to find GCD of 54, 736, 693, 209?

You can find a detailed procedure to find GCD of 54, 736, 693, 209 on our page.

3. How to find GCD of 54, 736, 693, 209 on a calculator?

You can find the GCD of 54, 736, 693, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.