GCD of 276, 723, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 276, 723, 660 quickly. Get the easiest ways to solve the greatest common divisor of 276, 723, 660 i.e 3 in different methods as follows.
Given Input numbers are 276, 723, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (276, 723, 660) = 3.
Given numbers are 276, 723, 660
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 723 are 3 x 241
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 276, 723, 660 is 3.
Steps to Calculate GCD of 276, 723, 660 using LCM Formula
Given numbers are 276, 723, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 723) = 66516
GCD(276, 723) = ( 276 x 723 ) / 66516
= 276 / 723
= 276
Step2:
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
= 3 / 660
= 3
So, Greatest Common Divisor of 276, 723, 660 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 276, 723, 660
Given numbers are 276, 723, 660
The greatest common divisor of numbers 276, 723, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 723, 660 is 3.
FAQs on GCD of 276, 723, 660 Calculator
1. What is the GCD of 276, 723, 660?
GCD of given numbers 276, 723, 660 is 3
2. How to calculate the greatest common divisor of 276, 723, 660?
We can find the highest common divisor of 276, 723, 660 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 276, 723, 660 i.e 3.
3. How can I use the GCD of 276, 723, 660Calculator?
Out the numbers 276, 723, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.