GCD of 608, 784, 480 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 608, 784, 480 quickly. Get the easiest ways to solve the greatest common divisor of 608, 784, 480 i.e 16 in different methods as follows.
Given Input numbers are 608, 784, 480
In the factoring method, we have to find the divisors of all numbers
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
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 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (608, 784, 480) = 16.
Given numbers are 608, 784, 480
The list of prime factors of all numbers are
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 24
Therefore, GCD of 608, 784, 480 is 16.
Steps to Calculate GCD of 608, 784, 480 using LCM Formula
Given numbers are 608, 784, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(608, 784) = 29792
GCD(608, 784) = ( 608 x 784 ) / 29792
= 608 / 784
= 608
Step2:
LCM(16, 480) = 480
GCD(16, 480) = ( 16 x 480 ) / 480
= 16 / 480
= 16
So, Greatest Common Divisor of 608, 784, 480 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 608, 784, 480
Given numbers are 608, 784, 480
The greatest common divisor of numbers 608, 784, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 784, 480 is 16.
FAQs on GCD of 608, 784, 480 Calculator
1. What is the GCD of 608, 784, 480?
GCD of given numbers 608, 784, 480 is 16
2. How to calculate the greatest common divisor of 608, 784, 480?
We can find the highest common divisor of 608, 784, 480 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 608, 784, 480 i.e 16.
3. How can I use the GCD of 608, 784, 480Calculator?
Out the numbers 608, 784, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.