GCD of 407, 709, 10, 222 Calculator

Given Input numbers are 407, 709, 10, 222

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 407, 709, 10, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 709, 10, 222 is 1.

Therefore, GCD of numbers 407, 709, 10, 222 is 1

Given Input Data is 407, 709, 10, 222

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 709 is 709

Prime Factorization of 10 is 2 x 5

Prime Factorization of 222 is 2 x 3 x 37

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(407, 709) = 288563

GCD(407, 709) = ( 407 x 709 ) / 288563

GCD(407, 709) = 288563 / 288563

GCD(407, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 407, 709, 10, 222 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 327, 51, 372
• GCD of 209, 573, 90, 621
• GCD of 727, 925, 90, 380
• GCD of 108, 816, 87, 376
• GCD of 312, 160, 88, 775

1. What is the GCD of 407, 709, 10, 222?

GCD of 407, 709, 10, 222 is 1

2. Where do I get the detailed procedure to find GCD of 407, 709, 10, 222?

You can find a detailed procedure to find GCD of 407, 709, 10, 222 on our page.

3. How to find GCD of 407, 709, 10, 222 on a calculator?

You can find the GCD of 407, 709, 10, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.