GCD of 224, 784, 464 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 224, 784, 464 quickly. Get the easiest ways to solve the greatest common divisor of 224, 784, 464 i.e 16 in different methods as follows.
Given Input numbers are 224, 784, 464
In the factoring method, we have to find the divisors of all numbers
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
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 (224, 784, 464) = 16.
Given numbers are 224, 784, 464
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The highest common occurrence is 24
Therefore, GCD of 224, 784, 464 is 16.
Steps to Calculate GCD of 224, 784, 464 using LCM Formula
Given numbers are 224, 784, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 784) = 1568
GCD(224, 784) = ( 224 x 784 ) / 1568
= 224 / 784
= 224
Step2:
LCM(112, 464) = 3248
GCD(112, 464) = ( 112 x 464 ) / 3248
= 112 / 464
= 112
So, Greatest Common Divisor of 224, 784, 464 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 224, 784, 464
Given numbers are 224, 784, 464
The greatest common divisor of numbers 224, 784, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 784, 464 is 16.
FAQs on GCD of 224, 784, 464 Calculator
1. What is the GCD of 224, 784, 464?
GCD of given numbers 224, 784, 464 is 16
2. How to calculate the greatest common divisor of 224, 784, 464?
We can find the highest common divisor of 224, 784, 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 224, 784, 464 i.e 16.
3. How can I use the GCD of 224, 784, 464Calculator?
Out the numbers 224, 784, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.