GCD of 802, 782, 816 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 802, 782, 816 quickly. Get the easiest ways to solve the greatest common divisor of 802, 782, 816 i.e 2 in different methods as follows.
Given Input numbers are 802, 782, 816
In the factoring method, we have to find the divisors of all numbers
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
GCD of numbers is the greatest common divisor
So, the GCD (802, 782, 816) = 2.
Given numbers are 802, 782, 816
The list of prime factors of all numbers are
Prime factors of 802 are 2 x 401
Prime factors of 782 are 2 x 17 x 23
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 802, 782, 816 is 2.
Steps to Calculate GCD of 802, 782, 816 using LCM Formula
Given numbers are 802, 782, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(802, 782) = 313582
GCD(802, 782) = ( 802 x 782 ) / 313582
= 802 / 782
= 802
Step2:
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
= 2 / 816
= 2
So, Greatest Common Divisor of 802, 782, 816 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 802, 782, 816
Given numbers are 802, 782, 816
The greatest common divisor of numbers 802, 782, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 782, 816 is 2.
FAQs on GCD of 802, 782, 816 Calculator
1. What is the GCD of 802, 782, 816?
GCD of given numbers 802, 782, 816 is 2
2. How to calculate the greatest common divisor of 802, 782, 816?
We can find the highest common divisor of 802, 782, 816 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 802, 782, 816 i.e 2.
3. How can I use the GCD of 802, 782, 816Calculator?
Out the numbers 802, 782, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.