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 734, 122, 270, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 734, 122, 270, 817 is 1
GCD(734, 122, 270, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 122, 270, 817 is 1
GCD(734, 122, 270, 817) = 1
Given Input numbers are 734, 122, 270, 817
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 734, 122, 270, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 122, 270, 817 is 1.
Therefore, GCD of numbers 734, 122, 270, 817 is 1
Given Input Data is 734, 122, 270, 817
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 122 is 2 x 61
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 817 is 19 x 43
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(734, 122) = 44774
GCD(734, 122) = ( 734 x 122 ) / 44774
GCD(734, 122) = 89548 / 44774
GCD(734, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
GCD(2, 270) = 540 / 270
GCD(2, 270) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 817) = 1634
GCD(2, 817) = ( 2 x 817 ) / 1634
GCD(2, 817) = 1634 / 1634
GCD(2, 817) = 1
GCD of 734, 122, 270, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 122, 270, 817?
GCD of 734, 122, 270, 817 is 1
2. Where do I get the detailed procedure to find GCD of 734, 122, 270, 817?
You can find a detailed procedure to find GCD of 734, 122, 270, 817 on our page.
3. How to find GCD of 734, 122, 270, 817 on a calculator?
You can find the GCD of 734, 122, 270, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.