GCD of 66, 208, 745, 436 Calculator

Given Input numbers are 66, 208, 745, 436

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 66, 208, 745, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 208, 745, 436 is 1.

Therefore, GCD of numbers 66, 208, 745, 436 is 1

Given Input Data is 66, 208, 745, 436

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 745 is 5 x 149

Prime Factorization of 436 is 2 x 2 x 109

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(66, 208) = 6864

GCD(66, 208) = ( 66 x 208 ) / 6864

GCD(66, 208) = 13728 / 6864

GCD(66, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 745

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

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

GCD(2, 745) = 1490 / 1490

GCD(2, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 66, 208, 745, 436 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 982, 295, 389
• GCD of 17, 436, 711, 481
• GCD of 96, 944, 153, 308
• GCD of 58, 605, 628, 826
• GCD of 33, 790, 521, 843

1. What is the GCD of 66, 208, 745, 436?

GCD of 66, 208, 745, 436 is 1

2. Where do I get the detailed procedure to find GCD of 66, 208, 745, 436?

You can find a detailed procedure to find GCD of 66, 208, 745, 436 on our page.

3. How to find GCD of 66, 208, 745, 436 on a calculator?

You can find the GCD of 66, 208, 745, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.