GCD of 816, 692, 340 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 816, 692, 340 quickly. Get the easiest ways to solve the greatest common divisor of 816, 692, 340 i.e 4 in different methods as follows.
Given Input numbers are 816, 692, 340
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (816, 692, 340) = 4.
Given numbers are 816, 692, 340
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 692 are 2 x 2 x 173
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 22
Therefore, GCD of 816, 692, 340 is 4.
Steps to Calculate GCD of 816, 692, 340 using LCM Formula
Given numbers are 816, 692, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 692) = 141168
GCD(816, 692) = ( 816 x 692 ) / 141168
= 816 / 692
= 816
Step2:
LCM(4, 340) = 340
GCD(4, 340) = ( 4 x 340 ) / 340
= 4 / 340
= 4
So, Greatest Common Divisor of 816, 692, 340 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 816, 692, 340
Given numbers are 816, 692, 340
The greatest common divisor of numbers 816, 692, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 692, 340 is 4.
FAQs on GCD of 816, 692, 340 Calculator
1. What is the GCD of 816, 692, 340?
GCD of given numbers 816, 692, 340 is 4
2. How to calculate the greatest common divisor of 816, 692, 340?
We can find the highest common divisor of 816, 692, 340 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 816, 692, 340 i.e 4.
3. How can I use the GCD of 816, 692, 340Calculator?
Out the numbers 816, 692, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.