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, 396, 121, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 396, 121, 240 is 1
GCD(350, 396, 121, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 396, 121, 240 is 1
GCD(350, 396, 121, 240) = 1
Given Input numbers are 350, 396, 121, 240
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 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 350, 396, 121, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 396, 121, 240 is 1.
Therefore, GCD of numbers 350, 396, 121, 240 is 1
Given Input Data is 350, 396, 121, 240
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 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 121 is 11 x 11
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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, 396) = 69300
GCD(350, 396) = ( 350 x 396 ) / 69300
GCD(350, 396) = 138600 / 69300
GCD(350, 396) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
GCD(2, 121) = 242 / 242
GCD(2, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 350, 396, 121, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 396, 121, 240?
GCD of 350, 396, 121, 240 is 1
2. Where do I get the detailed procedure to find GCD of 350, 396, 121, 240?
You can find a detailed procedure to find GCD of 350, 396, 121, 240 on our page.
3. How to find GCD of 350, 396, 121, 240 on a calculator?
You can find the GCD of 350, 396, 121, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.