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 101, 329, 87, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 329, 87, 113 is 1
GCD(101, 329, 87, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 329, 87, 113 is 1
GCD(101, 329, 87, 113) = 1
Given Input numbers are 101, 329, 87, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 101, 329, 87, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 329, 87, 113 is 1.
Therefore, GCD of numbers 101, 329, 87, 113 is 1
Given Input Data is 101, 329, 87, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 329 is 7 x 47
Prime Factorization of 87 is 3 x 29
Prime Factorization of 113 is 113
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(101, 329) = 33229
GCD(101, 329) = ( 101 x 329 ) / 33229
GCD(101, 329) = 33229 / 33229
GCD(101, 329) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 101, 329, 87, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 329, 87, 113?
GCD of 101, 329, 87, 113 is 1
2. Where do I get the detailed procedure to find GCD of 101, 329, 87, 113?
You can find a detailed procedure to find GCD of 101, 329, 87, 113 on our page.
3. How to find GCD of 101, 329, 87, 113 on a calculator?
You can find the GCD of 101, 329, 87, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.