GCD of 689, 583, 100 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, 583, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 583, 100 is 1
GCD(689, 583, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 583, 100 is 1
GCD(689, 583, 100) = 1
GCDof 689,583,100 is 1
Given Input numbers are 689, 583, 100
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 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 689, 583, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 583, 100 is 1.
Therefore, GCD of numbers 689, 583, 100 is 1
Given Input Data is 689, 583, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 583 is 11 x 53
Prime Factorization of 100 is 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 689, 583, 100 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, 583) = 7579
GCD(689, 583) = ( 689 x 583 ) / 7579
GCD(689, 583) = 401687 / 7579
GCD(689, 583) = 53
Step2:
Here we consider the GCD from the above i.e. 53 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(53, 100) = 5300
GCD(53, 100) = ( 53 x 100 ) / 5300
GCD(53, 100) = 5300 / 5300
GCD(53, 100) = 1
GCD of 689, 583, 100 is 1
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FAQs on GCD of numbers 689, 583, 100
1. What is the GCD of 689, 583, 100?
GCD of 689, 583, 100 is 1
2. Where do I get the detailed procedure to find GCD of 689, 583, 100?
You can find a detailed procedure to find GCD of 689, 583, 100 on our page.
3. How to find GCD of 689, 583, 100 on a calculator?
You can find the GCD of 689, 583, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.