Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 722, 426, 221, 383 i.e. 1 largest integer that divides all the numbers equally.
GCD of 722, 426, 221, 383 is 1
GCD(722, 426, 221, 383) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 722, 426, 221, 383 is 1
GCD(722, 426, 221, 383) = 1
Given Input numbers are 722, 426, 221, 383
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 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Greatest Common Divisior
We found the divisors of 722, 426, 221, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 426, 221, 383 is 1.
Therefore, GCD of numbers 722, 426, 221, 383 is 1
Given Input Data is 722, 426, 221, 383
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 426 is 2 x 3 x 71
Prime Factorization of 221 is 13 x 17
Prime Factorization of 383 is 383
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, 426) = 153786
GCD(722, 426) = ( 722 x 426 ) / 153786
GCD(722, 426) = 307572 / 153786
GCD(722, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
GCD(2, 221) = 442 / 442
GCD(2, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
GCD of 722, 426, 221, 383 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 722, 426, 221, 383?
GCD of 722, 426, 221, 383 is 1
2. Where do I get the detailed procedure to find GCD of 722, 426, 221, 383?
You can find a detailed procedure to find GCD of 722, 426, 221, 383 on our page.
3. How to find GCD of 722, 426, 221, 383 on a calculator?
You can find the GCD of 722, 426, 221, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.