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 378, 199, 201, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 199, 201, 699 is 1
GCD(378, 199, 201, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 199, 201, 699 is 1
GCD(378, 199, 201, 699) = 1
Given Input numbers are 378, 199, 201, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 378, 199, 201, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 199, 201, 699 is 1.
Therefore, GCD of numbers 378, 199, 201, 699 is 1
Given Input Data is 378, 199, 201, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 199 is 199
Prime Factorization of 201 is 3 x 67
Prime Factorization of 699 is 3 x 233
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(378, 199) = 75222
GCD(378, 199) = ( 378 x 199 ) / 75222
GCD(378, 199) = 75222 / 75222
GCD(378, 199) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 201) = 201
GCD(1, 201) = ( 1 x 201 ) / 201
GCD(1, 201) = 201 / 201
GCD(1, 201) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 378, 199, 201, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 199, 201, 699?
GCD of 378, 199, 201, 699 is 1
2. Where do I get the detailed procedure to find GCD of 378, 199, 201, 699?
You can find a detailed procedure to find GCD of 378, 199, 201, 699 on our page.
3. How to find GCD of 378, 199, 201, 699 on a calculator?
You can find the GCD of 378, 199, 201, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.