GCD of 852, 816, 732 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 852, 816, 732 quickly. Get the easiest ways to solve the greatest common divisor of 852, 816, 732 i.e 12 in different methods as follows.
Given Input numbers are 852, 816, 732
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
GCD of numbers is the greatest common divisor
So, the GCD (852, 816, 732) = 12.
Given numbers are 852, 816, 732
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 22 x 31
Therefore, GCD of 852, 816, 732 is 12.
Steps to Calculate GCD of 852, 816, 732 using LCM Formula
Given numbers are 852, 816, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 816) = 57936
GCD(852, 816) = ( 852 x 816 ) / 57936
= 852 / 816
= 852
Step2:
LCM(12, 732) = 732
GCD(12, 732) = ( 12 x 732 ) / 732
= 12 / 732
= 12
So, Greatest Common Divisor of 852, 816, 732 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 852, 816, 732
Given numbers are 852, 816, 732
The greatest common divisor of numbers 852, 816, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 816, 732 is 12.
FAQs on GCD of 852, 816, 732 Calculator
1. What is the GCD of 852, 816, 732?
GCD of given numbers 852, 816, 732 is 12
2. How to calculate the greatest common divisor of 852, 816, 732?
We can find the highest common divisor of 852, 816, 732 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 852, 816, 732 i.e 12.
3. How can I use the GCD of 852, 816, 732Calculator?
Out the numbers 852, 816, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.