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 959, 168, 30, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 959, 168, 30, 501 is 1
GCD(959, 168, 30, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 959, 168, 30, 501 is 1
GCD(959, 168, 30, 501) = 1
Given Input numbers are 959, 168, 30, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 959, 168, 30, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 168, 30, 501 is 1.
Therefore, GCD of numbers 959, 168, 30, 501 is 1
Given Input Data is 959, 168, 30, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 959 is 7 x 137
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 501 is 3 x 167
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(959, 168) = 23016
GCD(959, 168) = ( 959 x 168 ) / 23016
GCD(959, 168) = 161112 / 23016
GCD(959, 168) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 30) = 210
GCD(7, 30) = ( 7 x 30 ) / 210
GCD(7, 30) = 210 / 210
GCD(7, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 959, 168, 30, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 959, 168, 30, 501?
GCD of 959, 168, 30, 501 is 1
2. Where do I get the detailed procedure to find GCD of 959, 168, 30, 501?
You can find a detailed procedure to find GCD of 959, 168, 30, 501 on our page.
3. How to find GCD of 959, 168, 30, 501 on a calculator?
You can find the GCD of 959, 168, 30, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.