GCD of 852, 220, 232 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 852, 220, 232 quickly. Get the easiest ways to solve the greatest common divisor of 852, 220, 232 i.e 4 in different methods as follows.
Given Input numbers are 852, 220, 232
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
GCD of numbers is the greatest common divisor
So, the GCD (852, 220, 232) = 4.
Given numbers are 852, 220, 232
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 232 are 2 x 2 x 2 x 29
The highest common occurrence is 22
Therefore, GCD of 852, 220, 232 is 4.
Steps to Calculate GCD of 852, 220, 232 using LCM Formula
Given numbers are 852, 220, 232
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 220) = 46860
GCD(852, 220) = ( 852 x 220 ) / 46860
= 852 / 220
= 852
Step2:
LCM(4, 232) = 232
GCD(4, 232) = ( 4 x 232 ) / 232
= 4 / 232
= 4
So, Greatest Common Divisor of 852, 220, 232 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 852, 220, 232
Given numbers are 852, 220, 232
The greatest common divisor of numbers 852, 220, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 220, 232 is 4.
FAQs on GCD of 852, 220, 232 Calculator
1. What is the GCD of 852, 220, 232?
GCD of given numbers 852, 220, 232 is 4
2. How to calculate the greatest common divisor of 852, 220, 232?
We can find the highest common divisor of 852, 220, 232 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, 220, 232 i.e 4.
3. How can I use the GCD of 852, 220, 232Calculator?
Out the numbers 852, 220, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.