GCD of 468, 456, 752 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 468, 456, 752 quickly. Get the easiest ways to solve the greatest common divisor of 468, 456, 752 i.e 4 in different methods as follows.
Given Input numbers are 468, 456, 752
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
GCD of numbers is the greatest common divisor
So, the GCD (468, 456, 752) = 4.
Given numbers are 468, 456, 752
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
The highest common occurrence is 22
Therefore, GCD of 468, 456, 752 is 4.
Steps to Calculate GCD of 468, 456, 752 using LCM Formula
Given numbers are 468, 456, 752
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 456) = 17784
GCD(468, 456) = ( 468 x 456 ) / 17784
= 468 / 456
= 468
Step2:
LCM(12, 752) = 2256
GCD(12, 752) = ( 12 x 752 ) / 2256
= 12 / 752
= 12
So, Greatest Common Divisor of 468, 456, 752 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 468, 456, 752
Given numbers are 468, 456, 752
The greatest common divisor of numbers 468, 456, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 456, 752 is 4.
FAQs on GCD of 468, 456, 752 Calculator
1. What is the GCD of 468, 456, 752?
GCD of given numbers 468, 456, 752 is 4
2. How to calculate the greatest common divisor of 468, 456, 752?
We can find the highest common divisor of 468, 456, 752 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 468, 456, 752 i.e 4.
3. How can I use the GCD of 468, 456, 752Calculator?
Out the numbers 468, 456, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.