GCD of 738, 759, 828 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 738, 759, 828 quickly. Get the easiest ways to solve the greatest common divisor of 738, 759, 828 i.e 3 in different methods as follows.
Given Input numbers are 738, 759, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (738, 759, 828) = 3.
Given numbers are 738, 759, 828
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 759 are 3 x 11 x 23
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 738, 759, 828 is 3.
Steps to Calculate GCD of 738, 759, 828 using LCM Formula
Given numbers are 738, 759, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 759) = 186714
GCD(738, 759) = ( 738 x 759 ) / 186714
= 738 / 759
= 738
Step2:
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
= 3 / 828
= 3
So, Greatest Common Divisor of 738, 759, 828 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 738, 759, 828
Given numbers are 738, 759, 828
The greatest common divisor of numbers 738, 759, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 759, 828 is 3.
FAQs on GCD of 738, 759, 828 Calculator
1. What is the GCD of 738, 759, 828?
GCD of given numbers 738, 759, 828 is 3
2. How to calculate the greatest common divisor of 738, 759, 828?
We can find the highest common divisor of 738, 759, 828 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 738, 759, 828 i.e 3.
3. How can I use the GCD of 738, 759, 828Calculator?
Out the numbers 738, 759, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.