GCD of 731, 544, 272 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 731, 544, 272 quickly. Get the easiest ways to solve the greatest common divisor of 731, 544, 272 i.e 17 in different methods as follows.
Given Input numbers are 731, 544, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (731, 544, 272) = 17.
Given numbers are 731, 544, 272
The list of prime factors of all numbers are
Prime factors of 731 are 17 x 43
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 171
Therefore, GCD of 731, 544, 272 is 17.
Steps to Calculate GCD of 731, 544, 272 using LCM Formula
Given numbers are 731, 544, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(731, 544) = 23392
GCD(731, 544) = ( 731 x 544 ) / 23392
= 731 / 544
= 731
Step2:
LCM(17, 272) = 272
GCD(17, 272) = ( 17 x 272 ) / 272
= 17 / 272
= 17
So, Greatest Common Divisor of 731, 544, 272 is 17
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 731, 544, 272
Given numbers are 731, 544, 272
The greatest common divisor of numbers 731, 544, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 544, 272 is 17.
FAQs on GCD of 731, 544, 272 Calculator
1. What is the GCD of 731, 544, 272?
GCD of given numbers 731, 544, 272 is 17
2. How to calculate the greatest common divisor of 731, 544, 272?
We can find the highest common divisor of 731, 544, 272 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 731, 544, 272 i.e 17.
3. How can I use the GCD of 731, 544, 272Calculator?
Out the numbers 731, 544, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.