GCD of 884, 969, 714 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 884, 969, 714 quickly. Get the easiest ways to solve the greatest common divisor of 884, 969, 714 i.e 17 in different methods as follows.
Given Input numbers are 884, 969, 714
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (884, 969, 714) = 17.
Given numbers are 884, 969, 714
The list of prime factors of all numbers are
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 969 are 3 x 17 x 19
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 171
Therefore, GCD of 884, 969, 714 is 17.
Steps to Calculate GCD of 884, 969, 714 using LCM Formula
Given numbers are 884, 969, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(884, 969) = 50388
GCD(884, 969) = ( 884 x 969 ) / 50388
= 884 / 969
= 884
Step2:
LCM(17, 714) = 714
GCD(17, 714) = ( 17 x 714 ) / 714
= 17 / 714
= 17
So, Greatest Common Divisor of 884, 969, 714 is 17
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 884, 969, 714
Given numbers are 884, 969, 714
The greatest common divisor of numbers 884, 969, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 884, 969, 714 is 17.
FAQs on GCD of 884, 969, 714 Calculator
1. What is the GCD of 884, 969, 714?
GCD of given numbers 884, 969, 714 is 17
2. How to calculate the greatest common divisor of 884, 969, 714?
We can find the highest common divisor of 884, 969, 714 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 884, 969, 714 i.e 17.
3. How can I use the GCD of 884, 969, 714Calculator?
Out the numbers 884, 969, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.