GCD of 104, 472, 464 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 104, 472, 464 quickly. Get the easiest ways to solve the greatest common divisor of 104, 472, 464 i.e 8 in different methods as follows.
Given Input numbers are 104, 472, 464
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD of numbers is the greatest common divisor
So, the GCD (104, 472, 464) = 8.
Given numbers are 104, 472, 464
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The highest common occurrence is 23
Therefore, GCD of 104, 472, 464 is 8.
Steps to Calculate GCD of 104, 472, 464 using LCM Formula
Given numbers are 104, 472, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 472) = 6136
GCD(104, 472) = ( 104 x 472 ) / 6136
= 104 / 472
= 104
Step2:
LCM(8, 464) = 464
GCD(8, 464) = ( 8 x 464 ) / 464
= 8 / 464
= 8
So, Greatest Common Divisor of 104, 472, 464 is 8
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 104, 472, 464
Given numbers are 104, 472, 464
The greatest common divisor of numbers 104, 472, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 472, 464 is 8.
FAQs on GCD of 104, 472, 464 Calculator
1. What is the GCD of 104, 472, 464?
GCD of given numbers 104, 472, 464 is 8
2. How to calculate the greatest common divisor of 104, 472, 464?
We can find the highest common divisor of 104, 472, 464 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 104, 472, 464 i.e 8.
3. How can I use the GCD of 104, 472, 464Calculator?
Out the numbers 104, 472, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.