GCD of 272, 646, 731 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 272, 646, 731 quickly. Get the easiest ways to solve the greatest common divisor of 272, 646, 731 i.e 17 in different methods as follows.
Given Input numbers are 272, 646, 731
In the factoring method, we have to find the divisors of all numbers
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 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (272, 646, 731) = 17.
Given numbers are 272, 646, 731
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 646 are 2 x 17 x 19
Prime factors of 731 are 17 x 43
The highest common occurrence is 171
Therefore, GCD of 272, 646, 731 is 17.
Steps to Calculate GCD of 272, 646, 731 using LCM Formula
Given numbers are 272, 646, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 646) = 5168
GCD(272, 646) = ( 272 x 646 ) / 5168
= 272 / 646
= 272
Step2:
LCM(34, 731) = 1462
GCD(34, 731) = ( 34 x 731 ) / 1462
= 34 / 731
= 34
So, Greatest Common Divisor of 272, 646, 731 is 17
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 272, 646, 731
Given numbers are 272, 646, 731
The greatest common divisor of numbers 272, 646, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 646, 731 is 17.
FAQs on GCD of 272, 646, 731 Calculator
1. What is the GCD of 272, 646, 731?
GCD of given numbers 272, 646, 731 is 17
2. How to calculate the greatest common divisor of 272, 646, 731?
We can find the highest common divisor of 272, 646, 731 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 272, 646, 731 i.e 17.
3. How can I use the GCD of 272, 646, 731Calculator?
Out the numbers 272, 646, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.