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 201, 195, 150, 698 i.e. 1 largest integer that divides all the numbers equally.
GCD of 201, 195, 150, 698 is 1
GCD(201, 195, 150, 698) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 201, 195, 150, 698 is 1
GCD(201, 195, 150, 698) = 1
Given Input numbers are 201, 195, 150, 698
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Greatest Common Divisior
We found the divisors of 201, 195, 150, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 195, 150, 698 is 1.
Therefore, GCD of numbers 201, 195, 150, 698 is 1
Given Input Data is 201, 195, 150, 698
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 201 is 3 x 67
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 698 is 2 x 349
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(201, 195) = 13065
GCD(201, 195) = ( 201 x 195 ) / 13065
GCD(201, 195) = 39195 / 13065
GCD(201, 195) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 150) = 150
GCD(3, 150) = ( 3 x 150 ) / 150
GCD(3, 150) = 450 / 150
GCD(3, 150) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 698) = 2094
GCD(3, 698) = ( 3 x 698 ) / 2094
GCD(3, 698) = 2094 / 2094
GCD(3, 698) = 1
GCD of 201, 195, 150, 698 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 201, 195, 150, 698?
GCD of 201, 195, 150, 698 is 1
2. Where do I get the detailed procedure to find GCD of 201, 195, 150, 698?
You can find a detailed procedure to find GCD of 201, 195, 150, 698 on our page.
3. How to find GCD of 201, 195, 150, 698 on a calculator?
You can find the GCD of 201, 195, 150, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.