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 202, 614, 802, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 614, 802, 161 is 1
GCD(202, 614, 802, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 614, 802, 161 is 1
GCD(202, 614, 802, 161) = 1
Given Input numbers are 202, 614, 802, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 202, 614, 802, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 614, 802, 161 is 1.
Therefore, GCD of numbers 202, 614, 802, 161 is 1
Given Input Data is 202, 614, 802, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 614 is 2 x 307
Prime Factorization of 802 is 2 x 401
Prime Factorization of 161 is 7 x 23
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(202, 614) = 62014
GCD(202, 614) = ( 202 x 614 ) / 62014
GCD(202, 614) = 124028 / 62014
GCD(202, 614) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
GCD(2, 802) = 1604 / 802
GCD(2, 802) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 161) = 322
GCD(2, 161) = ( 2 x 161 ) / 322
GCD(2, 161) = 322 / 322
GCD(2, 161) = 1
GCD of 202, 614, 802, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 614, 802, 161?
GCD of 202, 614, 802, 161 is 1
2. Where do I get the detailed procedure to find GCD of 202, 614, 802, 161?
You can find a detailed procedure to find GCD of 202, 614, 802, 161 on our page.
3. How to find GCD of 202, 614, 802, 161 on a calculator?
You can find the GCD of 202, 614, 802, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.