GCD of 496, 774, 228, 201 Calculator

Given Input numbers are 496, 774, 228, 201

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 496, 774, 228, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 774, 228, 201 is 1.

Therefore, GCD of numbers 496, 774, 228, 201 is 1

Given Input Data is 496, 774, 228, 201

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 201 is 3 x 67

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(496, 774) = 191952

GCD(496, 774) = ( 496 x 774 ) / 191952

GCD(496, 774) = 383904 / 191952

GCD(496, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 201

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

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

GCD(2, 201) = 402 / 402

GCD(2, 201) = 1

GCD of 496, 774, 228, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 672, 887, 692
• GCD of 193, 949, 501, 683
• GCD of 200, 197, 648, 970
• GCD of 809, 518, 547, 391
• GCD of 709, 295, 693, 546

1. What is the GCD of 496, 774, 228, 201?

GCD of 496, 774, 228, 201 is 1

2. Where do I get the detailed procedure to find GCD of 496, 774, 228, 201?

You can find a detailed procedure to find GCD of 496, 774, 228, 201 on our page.

3. How to find GCD of 496, 774, 228, 201 on a calculator?

You can find the GCD of 496, 774, 228, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.