GCD of 828, 716, 916 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 828, 716, 916 quickly. Get the easiest ways to solve the greatest common divisor of 828, 716, 916 i.e 4 in different methods as follows.
Given Input numbers are 828, 716, 916
In the factoring method, we have to find the divisors of all numbers
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 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (828, 716, 916) = 4.
Given numbers are 828, 716, 916
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 716 are 2 x 2 x 179
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 22
Therefore, GCD of 828, 716, 916 is 4.
Steps to Calculate GCD of 828, 716, 916 using LCM Formula
Given numbers are 828, 716, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 716) = 148212
GCD(828, 716) = ( 828 x 716 ) / 148212
= 828 / 716
= 828
Step2:
LCM(4, 916) = 916
GCD(4, 916) = ( 4 x 916 ) / 916
= 4 / 916
= 4
So, Greatest Common Divisor of 828, 716, 916 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 828, 716, 916
Given numbers are 828, 716, 916
The greatest common divisor of numbers 828, 716, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 716, 916 is 4.
FAQs on GCD of 828, 716, 916 Calculator
1. What is the GCD of 828, 716, 916?
GCD of given numbers 828, 716, 916 is 4
2. How to calculate the greatest common divisor of 828, 716, 916?
We can find the highest common divisor of 828, 716, 916 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 828, 716, 916 i.e 4.
3. How can I use the GCD of 828, 716, 916Calculator?
Out the numbers 828, 716, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.