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 259, 284, 691, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 259, 284, 691, 149 is 1
GCD(259, 284, 691, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 259, 284, 691, 149 is 1
GCD(259, 284, 691, 149) = 1
Given Input numbers are 259, 284, 691, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 259, 284, 691, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 284, 691, 149 is 1.
Therefore, GCD of numbers 259, 284, 691, 149 is 1
Given Input Data is 259, 284, 691, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 259 is 7 x 37
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 691 is 691
Prime Factorization of 149 is 149
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(259, 284) = 73556
GCD(259, 284) = ( 259 x 284 ) / 73556
GCD(259, 284) = 73556 / 73556
GCD(259, 284) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
GCD of 259, 284, 691, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 259, 284, 691, 149?
GCD of 259, 284, 691, 149 is 1
2. Where do I get the detailed procedure to find GCD of 259, 284, 691, 149?
You can find a detailed procedure to find GCD of 259, 284, 691, 149 on our page.
3. How to find GCD of 259, 284, 691, 149 on a calculator?
You can find the GCD of 259, 284, 691, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.