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 165, 734, 63, 311 i.e. 1 largest integer that divides all the numbers equally.
GCD of 165, 734, 63, 311 is 1
GCD(165, 734, 63, 311) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 165, 734, 63, 311 is 1
GCD(165, 734, 63, 311) = 1
Given Input numbers are 165, 734, 63, 311
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Greatest Common Divisior
We found the divisors of 165, 734, 63, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 734, 63, 311 is 1.
Therefore, GCD of numbers 165, 734, 63, 311 is 1
Given Input Data is 165, 734, 63, 311
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 734 is 2 x 367
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 311 is 311
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(165, 734) = 121110
GCD(165, 734) = ( 165 x 734 ) / 121110
GCD(165, 734) = 121110 / 121110
GCD(165, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 63) = 63
GCD(1, 63) = ( 1 x 63 ) / 63
GCD(1, 63) = 63 / 63
GCD(1, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
GCD(1, 311) = 311 / 311
GCD(1, 311) = 1
GCD of 165, 734, 63, 311 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 165, 734, 63, 311?
GCD of 165, 734, 63, 311 is 1
2. Where do I get the detailed procedure to find GCD of 165, 734, 63, 311?
You can find a detailed procedure to find GCD of 165, 734, 63, 311 on our page.
3. How to find GCD of 165, 734, 63, 311 on a calculator?
You can find the GCD of 165, 734, 63, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.