GCD of 722, 622, 461, 748 Calculator

Given Input numbers are 722, 622, 461, 748

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 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 722, 622, 461, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 622, 461, 748 is 1.

Therefore, GCD of numbers 722, 622, 461, 748 is 1

Given Input Data is 722, 622, 461, 748

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 622 is 2 x 311

Prime Factorization of 461 is 461

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 622) = 224542

GCD(722, 622) = ( 722 x 622 ) / 224542

GCD(722, 622) = 449084 / 224542

GCD(722, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 722, 622, 461, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 322, 261, 918
• GCD of 808, 400, 432, 911
• GCD of 587, 876, 734, 152
• GCD of 680, 935, 341, 824
• GCD of 230, 462, 974, 107

1. What is the GCD of 722, 622, 461, 748?

GCD of 722, 622, 461, 748 is 1

2. Where do I get the detailed procedure to find GCD of 722, 622, 461, 748?

You can find a detailed procedure to find GCD of 722, 622, 461, 748 on our page.

3. How to find GCD of 722, 622, 461, 748 on a calculator?

You can find the GCD of 722, 622, 461, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.