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 100, 119, 689, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 100, 119, 689, 299 is 1
GCD(100, 119, 689, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 100, 119, 689, 299 is 1
GCD(100, 119, 689, 299) = 1
Given Input numbers are 100, 119, 689, 299
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 100, 119, 689, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 119, 689, 299 is 1.
Therefore, GCD of numbers 100, 119, 689, 299 is 1
Given Input Data is 100, 119, 689, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 119 is 7 x 17
Prime Factorization of 689 is 13 x 53
Prime Factorization of 299 is 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
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(100, 119) = 11900
GCD(100, 119) = ( 100 x 119 ) / 11900
GCD(100, 119) = 11900 / 11900
GCD(100, 119) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
GCD of 100, 119, 689, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 100, 119, 689, 299?
GCD of 100, 119, 689, 299 is 1
2. Where do I get the detailed procedure to find GCD of 100, 119, 689, 299?
You can find a detailed procedure to find GCD of 100, 119, 689, 299 on our page.
3. How to find GCD of 100, 119, 689, 299 on a calculator?
You can find the GCD of 100, 119, 689, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.