GCD of 456, 212, 472 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 456, 212, 472 quickly. Get the easiest ways to solve the greatest common divisor of 456, 212, 472 i.e 4 in different methods as follows.
Given Input numbers are 456, 212, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (456, 212, 472) = 4.
Given numbers are 456, 212, 472
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 212 are 2 x 2 x 53
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 22
Therefore, GCD of 456, 212, 472 is 4.
Steps to Calculate GCD of 456, 212, 472 using LCM Formula
Given numbers are 456, 212, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 212) = 24168
GCD(456, 212) = ( 456 x 212 ) / 24168
= 456 / 212
= 456
Step2:
LCM(4, 472) = 472
GCD(4, 472) = ( 4 x 472 ) / 472
= 4 / 472
= 4
So, Greatest Common Divisor of 456, 212, 472 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 456, 212, 472
Given numbers are 456, 212, 472
The greatest common divisor of numbers 456, 212, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 212, 472 is 4.
FAQs on GCD of 456, 212, 472 Calculator
1. What is the GCD of 456, 212, 472?
GCD of given numbers 456, 212, 472 is 4
2. How to calculate the greatest common divisor of 456, 212, 472?
We can find the highest common divisor of 456, 212, 472 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 456, 212, 472 i.e 4.
3. How can I use the GCD of 456, 212, 472Calculator?
Out the numbers 456, 212, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.