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 196, 351, 303, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 351, 303, 240 is 1
GCD(196, 351, 303, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 351, 303, 240 is 1
GCD(196, 351, 303, 240) = 1
Given Input numbers are 196, 351, 303, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
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 196, 351, 303, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 351, 303, 240 is 1.
Therefore, GCD of numbers 196, 351, 303, 240 is 1
Given Input Data is 196, 351, 303, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 303 is 3 x 101
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(196, 351) = 68796
GCD(196, 351) = ( 196 x 351 ) / 68796
GCD(196, 351) = 68796 / 68796
GCD(196, 351) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
GCD(1, 303) = 303 / 303
GCD(1, 303) = 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 196, 351, 303, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 351, 303, 240?
GCD of 196, 351, 303, 240 is 1
2. Where do I get the detailed procedure to find GCD of 196, 351, 303, 240?
You can find a detailed procedure to find GCD of 196, 351, 303, 240 on our page.
3. How to find GCD of 196, 351, 303, 240 on a calculator?
You can find the GCD of 196, 351, 303, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.