GCD of 105, 966, 153 Calculator
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 105, 966, 153 i.e. 3 largest integer that divides all the numbers equally.
GCD of 105, 966, 153 is 3
GCD(105, 966, 153) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 966, 153 is 3
GCD(105, 966, 153) = 3
GCDof 105,966,153 is 3
Given Input numbers are 105, 966, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 105, 966, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 966, 153 is 3.
Therefore, GCD of numbers 105, 966, 153 is 3
Given Input Data is 105, 966, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 153 is 3 x 3 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 105, 966, 153 using LCM Formula
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(105, 966) = 4830
GCD(105, 966) = ( 105 x 966 ) / 4830
GCD(105, 966) = 101430 / 4830
GCD(105, 966) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 153) = 1071
GCD(21, 153) = ( 21 x 153 ) / 1071
GCD(21, 153) = 3213 / 1071
GCD(21, 153) = 3
GCD of 105, 966, 153 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 105, 966, 153
1. What is the GCD of 105, 966, 153?
GCD of 105, 966, 153 is 3
2. Where do I get the detailed procedure to find GCD of 105, 966, 153?
You can find a detailed procedure to find GCD of 105, 966, 153 on our page.
3. How to find GCD of 105, 966, 153 on a calculator?
You can find the GCD of 105, 966, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.