GCD of 873, 342, 264 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 873, 342, 264 i.e. 3 largest integer that divides all the numbers equally.
GCD of 873, 342, 264 is 3
GCD(873, 342, 264) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 342, 264 is 3
GCD(873, 342, 264) = 3
GCDof 873,342,264 is 3
Given Input numbers are 873, 342, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 873, 342, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 342, 264 is 3.
Therefore, GCD of numbers 873, 342, 264 is 3
Given Input Data is 873, 342, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 873, 342, 264 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(873, 342) = 33174
GCD(873, 342) = ( 873 x 342 ) / 33174
GCD(873, 342) = 298566 / 33174
GCD(873, 342) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 264) = 792
GCD(9, 264) = ( 9 x 264 ) / 792
GCD(9, 264) = 2376 / 792
GCD(9, 264) = 3
GCD of 873, 342, 264 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 873, 342, 264
1. What is the GCD of 873, 342, 264?
GCD of 873, 342, 264 is 3
2. Where do I get the detailed procedure to find GCD of 873, 342, 264?
You can find a detailed procedure to find GCD of 873, 342, 264 on our page.
3. How to find GCD of 873, 342, 264 on a calculator?
You can find the GCD of 873, 342, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
