GCD of 716, 682, 996 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 716, 682, 996 quickly. Get the easiest ways to solve the greatest common divisor of 716, 682, 996 i.e 2 in different methods as follows.
Given Input numbers are 716, 682, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (716, 682, 996) = 2.
Given numbers are 716, 682, 996
The list of prime factors of all numbers are
Prime factors of 716 are 2 x 2 x 179
Prime factors of 682 are 2 x 11 x 31
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 716, 682, 996 is 2.
Steps to Calculate GCD of 716, 682, 996 using LCM Formula
Given numbers are 716, 682, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(716, 682) = 244156
GCD(716, 682) = ( 716 x 682 ) / 244156
= 716 / 682
= 716
Step2:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
So, Greatest Common Divisor of 716, 682, 996 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 716, 682, 996
Given numbers are 716, 682, 996
The greatest common divisor of numbers 716, 682, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 682, 996 is 2.
FAQs on GCD of 716, 682, 996 Calculator
1. What is the GCD of 716, 682, 996?
GCD of given numbers 716, 682, 996 is 2
2. How to calculate the greatest common divisor of 716, 682, 996?
We can find the highest common divisor of 716, 682, 996 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 716, 682, 996 i.e 2.
3. How can I use the GCD of 716, 682, 996Calculator?
Out the numbers 716, 682, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.