GCD of 689, 914, 84 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 689, 914, 84 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 914, 84 is 1
GCD(689, 914, 84) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 914, 84 is 1
GCD(689, 914, 84) = 1
GCDof 689,914,84 is 1
Given Input numbers are 689, 914, 84
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Greatest Common Divisior
We found the divisors of 689, 914, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 914, 84 is 1.
Therefore, GCD of numbers 689, 914, 84 is 1
Given Input Data is 689, 914, 84
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 914 is 2 x 457
Prime Factorization of 84 is 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 689, 914, 84 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(689, 914) = 629746
GCD(689, 914) = ( 689 x 914 ) / 629746
GCD(689, 914) = 629746 / 629746
GCD(689, 914) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
GCD of 689, 914, 84 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 689, 914, 84
1. What is the GCD of 689, 914, 84?
GCD of 689, 914, 84 is 1
2. Where do I get the detailed procedure to find GCD of 689, 914, 84?
You can find a detailed procedure to find GCD of 689, 914, 84 on our page.
3. How to find GCD of 689, 914, 84 on a calculator?
You can find the GCD of 689, 914, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
