GCD of 726, 440, 187 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 726, 440, 187 quickly. Get the easiest ways to solve the greatest common divisor of 726, 440, 187 i.e 11 in different methods as follows.
Given Input numbers are 726, 440, 187
In the factoring method, we have to find the divisors of all numbers
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
GCD of numbers is the greatest common divisor
So, the GCD (726, 440, 187) = 11.
Given numbers are 726, 440, 187
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 187 are 11 x 17
The highest common occurrence is 111
Therefore, GCD of 726, 440, 187 is 11.
Steps to Calculate GCD of 726, 440, 187 using LCM Formula
Given numbers are 726, 440, 187
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 440) = 14520
GCD(726, 440) = ( 726 x 440 ) / 14520
= 726 / 440
= 726
Step2:
LCM(22, 187) = 374
GCD(22, 187) = ( 22 x 187 ) / 374
= 22 / 187
= 22
So, Greatest Common Divisor of 726, 440, 187 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 726, 440, 187
Given numbers are 726, 440, 187
The greatest common divisor of numbers 726, 440, 187 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 440, 187 is 11.
FAQs on GCD of 726, 440, 187 Calculator
1. What is the GCD of 726, 440, 187?
GCD of given numbers 726, 440, 187 is 11
2. How to calculate the greatest common divisor of 726, 440, 187?
We can find the highest common divisor of 726, 440, 187 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 726, 440, 187 i.e 11.
3. How can I use the GCD of 726, 440, 187Calculator?
Out the numbers 726, 440, 187 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.