GCD of 689, 962, 884 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 689, 962, 884 quickly. Get the easiest ways to solve the greatest common divisor of 689, 962, 884 i.e 13 in different methods as follows.
Given Input numbers are 689, 962, 884
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
GCD of numbers is the greatest common divisor
So, the GCD (689, 962, 884) = 13.
Given numbers are 689, 962, 884
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 962 are 2 x 13 x 37
Prime factors of 884 are 2 x 2 x 13 x 17
The highest common occurrence is 131
Therefore, GCD of 689, 962, 884 is 13.
Steps to Calculate GCD of 689, 962, 884 using LCM Formula
Given numbers are 689, 962, 884
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 962) = 50986
GCD(689, 962) = ( 689 x 962 ) / 50986
= 689 / 962
= 689
Step2:
LCM(13, 884) = 884
GCD(13, 884) = ( 13 x 884 ) / 884
= 13 / 884
= 13
So, Greatest Common Divisor of 689, 962, 884 is 13
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 689, 962, 884
Given numbers are 689, 962, 884
The greatest common divisor of numbers 689, 962, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 962, 884 is 13.
FAQs on GCD of 689, 962, 884 Calculator
1. What is the GCD of 689, 962, 884?
GCD of given numbers 689, 962, 884 is 13
2. How to calculate the greatest common divisor of 689, 962, 884?
We can find the highest common divisor of 689, 962, 884 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 689, 962, 884 i.e 13.
3. How can I use the GCD of 689, 962, 884Calculator?
Out the numbers 689, 962, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.