GCD of 808, 828, 738 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 808, 828, 738 quickly. Get the easiest ways to solve the greatest common divisor of 808, 828, 738 i.e 2 in different methods as follows.
Given Input numbers are 808, 828, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
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
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
GCD of numbers is the greatest common divisor
So, the GCD (808, 828, 738) = 2.
Given numbers are 808, 828, 738
The list of prime factors of all numbers are
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 738 are 2 x 3 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 808, 828, 738 is 2.
Steps to Calculate GCD of 808, 828, 738 using LCM Formula
Given numbers are 808, 828, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(808, 828) = 167256
GCD(808, 828) = ( 808 x 828 ) / 167256
= 808 / 828
= 808
Step2:
LCM(4, 738) = 1476
GCD(4, 738) = ( 4 x 738 ) / 1476
= 4 / 738
= 4
So, Greatest Common Divisor of 808, 828, 738 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 808, 828, 738
Given numbers are 808, 828, 738
The greatest common divisor of numbers 808, 828, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 828, 738 is 2.
FAQs on GCD of 808, 828, 738 Calculator
1. What is the GCD of 808, 828, 738?
GCD of given numbers 808, 828, 738 is 2
2. How to calculate the greatest common divisor of 808, 828, 738?
We can find the highest common divisor of 808, 828, 738 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 808, 828, 738 i.e 2.
3. How can I use the GCD of 808, 828, 738Calculator?
Out the numbers 808, 828, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.