GCD of 723, 825, 762 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 723, 825, 762 quickly. Get the easiest ways to solve the greatest common divisor of 723, 825, 762 i.e 3 in different methods as follows.
Given Input numbers are 723, 825, 762
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (723, 825, 762) = 3.
Given numbers are 723, 825, 762
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 31
Therefore, GCD of 723, 825, 762 is 3.
Steps to Calculate GCD of 723, 825, 762 using LCM Formula
Given numbers are 723, 825, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 825) = 198825
GCD(723, 825) = ( 723 x 825 ) / 198825
= 723 / 825
= 723
Step2:
LCM(3, 762) = 762
GCD(3, 762) = ( 3 x 762 ) / 762
= 3 / 762
= 3
So, Greatest Common Divisor of 723, 825, 762 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 723, 825, 762
Given numbers are 723, 825, 762
The greatest common divisor of numbers 723, 825, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 825, 762 is 3.
FAQs on GCD of 723, 825, 762 Calculator
1. What is the GCD of 723, 825, 762?
GCD of given numbers 723, 825, 762 is 3
2. How to calculate the greatest common divisor of 723, 825, 762?
We can find the highest common divisor of 723, 825, 762 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 723, 825, 762 i.e 3.
3. How can I use the GCD of 723, 825, 762Calculator?
Out the numbers 723, 825, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.