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 22, 715, 358, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 715, 358, 381 is 1
GCD(22, 715, 358, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 715, 358, 381 is 1
GCD(22, 715, 358, 381) = 1
Given Input numbers are 22, 715, 358, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 22, 715, 358, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 715, 358, 381 is 1.
Therefore, GCD of numbers 22, 715, 358, 381 is 1
Given Input Data is 22, 715, 358, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 358 is 2 x 179
Prime Factorization of 381 is 3 x 127
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(22, 715) = 1430
GCD(22, 715) = ( 22 x 715 ) / 1430
GCD(22, 715) = 15730 / 1430
GCD(22, 715) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 358) = 3938
GCD(11, 358) = ( 11 x 358 ) / 3938
GCD(11, 358) = 3938 / 3938
GCD(11, 358) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 22, 715, 358, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 715, 358, 381?
GCD of 22, 715, 358, 381 is 1
2. Where do I get the detailed procedure to find GCD of 22, 715, 358, 381?
You can find a detailed procedure to find GCD of 22, 715, 358, 381 on our page.
3. How to find GCD of 22, 715, 358, 381 on a calculator?
You can find the GCD of 22, 715, 358, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.