GCD of 264, 200, 706, 419 Calculator

Given Input numbers are 264, 200, 706, 419

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 264, 200, 706, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 200, 706, 419 is 1.

Therefore, GCD of numbers 264, 200, 706, 419 is 1

Given Input Data is 264, 200, 706, 419

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 706 is 2 x 353

Prime Factorization of 419 is 419

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(264, 200) = 6600

GCD(264, 200) = ( 264 x 200 ) / 6600

GCD(264, 200) = 52800 / 6600

GCD(264, 200) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 706

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

LCM(8, 706) = 2824

GCD(8, 706) = ( 8 x 706 ) / 2824

GCD(8, 706) = 5648 / 2824

GCD(8, 706) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 419

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

LCM(2, 419) = 838

GCD(2, 419) = ( 2 x 419 ) / 838

GCD(2, 419) = 838 / 838

GCD(2, 419) = 1

GCD of 264, 200, 706, 419 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 551, 112, 520
• GCD of 540, 230, 254, 693
• GCD of 400, 854, 194, 129
• GCD of 435, 119, 180, 401
• GCD of 851, 147, 665, 334

1. What is the GCD of 264, 200, 706, 419?

GCD of 264, 200, 706, 419 is 1

2. Where do I get the detailed procedure to find GCD of 264, 200, 706, 419?

You can find a detailed procedure to find GCD of 264, 200, 706, 419 on our page.

3. How to find GCD of 264, 200, 706, 419 on a calculator?

You can find the GCD of 264, 200, 706, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.