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, 858, 90, 141 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 858, 90, 141 is 1
GCD(689, 858, 90, 141) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 858, 90, 141 is 1
GCD(689, 858, 90, 141) = 1
Given Input numbers are 689, 858, 90, 141
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 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Greatest Common Divisior
We found the divisors of 689, 858, 90, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 858, 90, 141 is 1.
Therefore, GCD of numbers 689, 858, 90, 141 is 1
Given Input Data is 689, 858, 90, 141
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 141 is 3 x 47
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(689, 858) = 45474
GCD(689, 858) = ( 689 x 858 ) / 45474
GCD(689, 858) = 591162 / 45474
GCD(689, 858) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 90) = 1170
GCD(13, 90) = ( 13 x 90 ) / 1170
GCD(13, 90) = 1170 / 1170
GCD(13, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
GCD(1, 141) = 141 / 141
GCD(1, 141) = 1
GCD of 689, 858, 90, 141 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 858, 90, 141?
GCD of 689, 858, 90, 141 is 1
2. Where do I get the detailed procedure to find GCD of 689, 858, 90, 141?
You can find a detailed procedure to find GCD of 689, 858, 90, 141 on our page.
3. How to find GCD of 689, 858, 90, 141 on a calculator?
You can find the GCD of 689, 858, 90, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.