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, 550, 297, 330 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 550, 297, 330 is 1
GCD(196, 550, 297, 330) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 550, 297, 330 is 1
GCD(196, 550, 297, 330) = 1
Given Input numbers are 196, 550, 297, 330
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 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Greatest Common Divisior
We found the divisors of 196, 550, 297, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 550, 297, 330 is 1.
Therefore, GCD of numbers 196, 550, 297, 330 is 1
Given Input Data is 196, 550, 297, 330
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 550 is 2 x 5 x 5 x 11
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 330 is 2 x 3 x 5 x 11
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, 550) = 53900
GCD(196, 550) = ( 196 x 550 ) / 53900
GCD(196, 550) = 107800 / 53900
GCD(196, 550) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 297) = 594
GCD(2, 297) = ( 2 x 297 ) / 594
GCD(2, 297) = 594 / 594
GCD(2, 297) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
GCD of 196, 550, 297, 330 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 550, 297, 330?
GCD of 196, 550, 297, 330 is 1
2. Where do I get the detailed procedure to find GCD of 196, 550, 297, 330?
You can find a detailed procedure to find GCD of 196, 550, 297, 330 on our page.
3. How to find GCD of 196, 550, 297, 330 on a calculator?
You can find the GCD of 196, 550, 297, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.