GCD of 726, 478, 400 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 726, 478, 400 quickly. Get the easiest ways to solve the greatest common divisor of 726, 478, 400 i.e 2 in different methods as follows.
Given Input numbers are 726, 478, 400
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 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (726, 478, 400) = 2.
Given numbers are 726, 478, 400
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 478 are 2 x 239
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 726, 478, 400 is 2.
Steps to Calculate GCD of 726, 478, 400 using LCM Formula
Given numbers are 726, 478, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 478) = 173514
GCD(726, 478) = ( 726 x 478 ) / 173514
= 726 / 478
= 726
Step2:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 726, 478, 400 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 726, 478, 400
Given numbers are 726, 478, 400
The greatest common divisor of numbers 726, 478, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 478, 400 is 2.
FAQs on GCD of 726, 478, 400 Calculator
1. What is the GCD of 726, 478, 400?
GCD of given numbers 726, 478, 400 is 2
2. How to calculate the greatest common divisor of 726, 478, 400?
We can find the highest common divisor of 726, 478, 400 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, 478, 400 i.e 2.
3. How can I use the GCD of 726, 478, 400Calculator?
Out the numbers 726, 478, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.