GCD of 996, 456, 726 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 996, 456, 726 quickly. Get the easiest ways to solve the greatest common divisor of 996, 456, 726 i.e 6 in different methods as follows.
Given Input numbers are 996, 456, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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
GCD of numbers is the greatest common divisor
So, the GCD (996, 456, 726) = 6.
Given numbers are 996, 456, 726
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 996, 456, 726 is 6.
Steps to Calculate GCD of 996, 456, 726 using LCM Formula
Given numbers are 996, 456, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 456) = 37848
GCD(996, 456) = ( 996 x 456 ) / 37848
= 996 / 456
= 996
Step2:
LCM(12, 726) = 1452
GCD(12, 726) = ( 12 x 726 ) / 1452
= 12 / 726
= 12
So, Greatest Common Divisor of 996, 456, 726 is 6
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 996, 456, 726
Given numbers are 996, 456, 726
The greatest common divisor of numbers 996, 456, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 456, 726 is 6.
FAQs on GCD of 996, 456, 726 Calculator
1. What is the GCD of 996, 456, 726?
GCD of given numbers 996, 456, 726 is 6
2. How to calculate the greatest common divisor of 996, 456, 726?
We can find the highest common divisor of 996, 456, 726 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 996, 456, 726 i.e 6.
3. How can I use the GCD of 996, 456, 726Calculator?
Out the numbers 996, 456, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.