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 90, 239, 796, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 239, 796, 351 is 1
GCD(90, 239, 796, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 239, 796, 351 is 1
GCD(90, 239, 796, 351) = 1
Given Input numbers are 90, 239, 796, 351
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 90, 239, 796, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 239, 796, 351 is 1.
Therefore, GCD of numbers 90, 239, 796, 351 is 1
Given Input Data is 90, 239, 796, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 239 is 239
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 351 is 3 x 3 x 3 x 13
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(90, 239) = 21510
GCD(90, 239) = ( 90 x 239 ) / 21510
GCD(90, 239) = 21510 / 21510
GCD(90, 239) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
GCD of 90, 239, 796, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 239, 796, 351?
GCD of 90, 239, 796, 351 is 1
2. Where do I get the detailed procedure to find GCD of 90, 239, 796, 351?
You can find a detailed procedure to find GCD of 90, 239, 796, 351 on our page.
3. How to find GCD of 90, 239, 796, 351 on a calculator?
You can find the GCD of 90, 239, 796, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.