GCD of 724, 400, 66, 217 Calculator

Given Input numbers are 724, 400, 66, 217

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 724, 400, 66, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 400, 66, 217 is 1.

Therefore, GCD of numbers 724, 400, 66, 217 is 1

Given Input Data is 724, 400, 66, 217

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 217 is 7 x 31

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(724, 400) = 72400

GCD(724, 400) = ( 724 x 400 ) / 72400

GCD(724, 400) = 289600 / 72400

GCD(724, 400) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 66

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

LCM(4, 66) = 132

GCD(4, 66) = ( 4 x 66 ) / 132

GCD(4, 66) = 264 / 132

GCD(4, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 217

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

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

GCD(2, 217) = 434 / 434

GCD(2, 217) = 1

GCD of 724, 400, 66, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 496, 30, 502
• GCD of 833, 884, 19, 206
• GCD of 103, 375, 68, 396
• GCD of 237, 982, 73, 306
• GCD of 152, 523, 38, 188

1. What is the GCD of 724, 400, 66, 217?

GCD of 724, 400, 66, 217 is 1

2. Where do I get the detailed procedure to find GCD of 724, 400, 66, 217?

You can find a detailed procedure to find GCD of 724, 400, 66, 217 on our page.

3. How to find GCD of 724, 400, 66, 217 on a calculator?

You can find the GCD of 724, 400, 66, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.