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 350, 996, 28, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 996, 28, 215 is 1
GCD(350, 996, 28, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 996, 28, 215 is 1
GCD(350, 996, 28, 215) = 1
Given Input numbers are 350, 996, 28, 215
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 350, 996, 28, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 996, 28, 215 is 1.
Therefore, GCD of numbers 350, 996, 28, 215 is 1
Given Input Data is 350, 996, 28, 215
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 215 is 5 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(350, 996) = 174300
GCD(350, 996) = ( 350 x 996 ) / 174300
GCD(350, 996) = 348600 / 174300
GCD(350, 996) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 28) = 28
GCD(2, 28) = ( 2 x 28 ) / 28
GCD(2, 28) = 56 / 28
GCD(2, 28) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 215) = 430
GCD(2, 215) = ( 2 x 215 ) / 430
GCD(2, 215) = 430 / 430
GCD(2, 215) = 1
GCD of 350, 996, 28, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 996, 28, 215?
GCD of 350, 996, 28, 215 is 1
2. Where do I get the detailed procedure to find GCD of 350, 996, 28, 215?
You can find a detailed procedure to find GCD of 350, 996, 28, 215 on our page.
3. How to find GCD of 350, 996, 28, 215 on a calculator?
You can find the GCD of 350, 996, 28, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.