GCD of 66, 203, 600, 742 Calculator

Given Input numbers are 66, 203, 600, 742

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 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 66, 203, 600, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 203, 600, 742 is 1.

Therefore, GCD of numbers 66, 203, 600, 742 is 1

Given Input Data is 66, 203, 600, 742

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 203 is 7 x 29

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 742 is 2 x 7 x 53

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, 203) = 13398

GCD(66, 203) = ( 66 x 203 ) / 13398

GCD(66, 203) = 13398 / 13398

GCD(66, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 66, 203, 600, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 511, 236, 175
• GCD of 21, 590, 557, 899
• GCD of 14, 204, 451, 273
• GCD of 96, 912, 442, 424
• GCD of 76, 503, 395, 807

1. What is the GCD of 66, 203, 600, 742?

GCD of 66, 203, 600, 742 is 1

2. Where do I get the detailed procedure to find GCD of 66, 203, 600, 742?

You can find a detailed procedure to find GCD of 66, 203, 600, 742 on our page.

3. How to find GCD of 66, 203, 600, 742 on a calculator?

You can find the GCD of 66, 203, 600, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.