GCD of 225, 320, 688 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 225, 320, 688 quickly. Get the easiest ways to solve the greatest common divisor of 225, 320, 688 i.e 1 in different methods as follows.
Given Input numbers are 225, 320, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
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 (225, 320, 688) = 1.
Given numbers are 225, 320, 688
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 225, 320, 688 using LCM Formula
Given numbers are 225, 320, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 320) = 14400
GCD(225, 320) = ( 225 x 320 ) / 14400
= 225 / 320
= 225
Step2:
LCM(5, 688) = 3440
GCD(5, 688) = ( 5 x 688 ) / 3440
= 5 / 688
= 5
So, Greatest Common Divisor of 225, 320, 688 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 225, 320, 688
Given numbers are 225, 320, 688
The greatest common divisor of numbers 225, 320, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 320, 688 is 1.
FAQs on GCD of 225, 320, 688 Calculator
1. What is the GCD of 225, 320, 688?
GCD of given numbers 225, 320, 688 is 1
2. How to calculate the greatest common divisor of 225, 320, 688?
We can find the highest common divisor of 225, 320, 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 225, 320, 688 i.e 1.
3. How can I use the GCD of 225, 320, 688Calculator?
Out the numbers 225, 320, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.