GCD of 160, 272, 704 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 160, 272, 704 quickly. Get the easiest ways to solve the greatest common divisor of 160, 272, 704 i.e 16 in different methods as follows.
Given Input numbers are 160, 272, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (160, 272, 704) = 16.
Given numbers are 160, 272, 704
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 24
Therefore, GCD of 160, 272, 704 is 16.
Steps to Calculate GCD of 160, 272, 704 using LCM Formula
Given numbers are 160, 272, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 272) = 2720
GCD(160, 272) = ( 160 x 272 ) / 2720
= 160 / 272
= 160
Step2:
LCM(16, 704) = 704
GCD(16, 704) = ( 16 x 704 ) / 704
= 16 / 704
= 16
So, Greatest Common Divisor of 160, 272, 704 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 160, 272, 704
Given numbers are 160, 272, 704
The greatest common divisor of numbers 160, 272, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 272, 704 is 16.
FAQs on GCD of 160, 272, 704 Calculator
1. What is the GCD of 160, 272, 704?
GCD of given numbers 160, 272, 704 is 16
2. How to calculate the greatest common divisor of 160, 272, 704?
We can find the highest common divisor of 160, 272, 704 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 160, 272, 704 i.e 16.
3. How can I use the GCD of 160, 272, 704Calculator?
Out the numbers 160, 272, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.