GCD of 722, 463, 45, 407 Calculator

Given Input numbers are 722, 463, 45, 407

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 407

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

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 722, 463, 45, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 463, 45, 407 is 1.

Therefore, GCD of numbers 722, 463, 45, 407 is 1

Given Input Data is 722, 463, 45, 407

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 463 is 463

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 407 is 11 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(722, 463) = 334286

GCD(722, 463) = ( 722 x 463 ) / 334286

GCD(722, 463) = 334286 / 334286

GCD(722, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 722, 463, 45, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 509, 39, 691
• GCD of 370, 634, 54, 191
• GCD of 979, 910, 32, 908
• GCD of 777, 709, 20, 535
• GCD of 208, 617, 40, 759

1. What is the GCD of 722, 463, 45, 407?

GCD of 722, 463, 45, 407 is 1

2. Where do I get the detailed procedure to find GCD of 722, 463, 45, 407?

You can find a detailed procedure to find GCD of 722, 463, 45, 407 on our page.

3. How to find GCD of 722, 463, 45, 407 on a calculator?

You can find the GCD of 722, 463, 45, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.