GCD of 240, 448, 688 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 240, 448, 688 quickly. Get the easiest ways to solve the greatest common divisor of 240, 448, 688 i.e 16 in different methods as follows.
Given Input numbers are 240, 448, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (240, 448, 688) = 16.
Given numbers are 240, 448, 688
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 24
Therefore, GCD of 240, 448, 688 is 16.
Steps to Calculate GCD of 240, 448, 688 using LCM Formula
Given numbers are 240, 448, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 448) = 6720
GCD(240, 448) = ( 240 x 448 ) / 6720
= 240 / 448
= 240
Step2:
LCM(16, 688) = 688
GCD(16, 688) = ( 16 x 688 ) / 688
= 16 / 688
= 16
So, Greatest Common Divisor of 240, 448, 688 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 240, 448, 688
Given numbers are 240, 448, 688
The greatest common divisor of numbers 240, 448, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 448, 688 is 16.
FAQs on GCD of 240, 448, 688 Calculator
1. What is the GCD of 240, 448, 688?
GCD of given numbers 240, 448, 688 is 16
2. How to calculate the greatest common divisor of 240, 448, 688?
We can find the highest common divisor of 240, 448, 688 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 240, 448, 688 i.e 16.
3. How can I use the GCD of 240, 448, 688Calculator?
Out the numbers 240, 448, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.