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 258, 560, 328, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 560, 328, 691 is 1
GCD(258, 560, 328, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 560, 328, 691 is 1
GCD(258, 560, 328, 691) = 1
Given Input numbers are 258, 560, 328, 691
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 258, 560, 328, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 560, 328, 691 is 1.
Therefore, GCD of numbers 258, 560, 328, 691 is 1
Given Input Data is 258, 560, 328, 691
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 691 is 691
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(258, 560) = 72240
GCD(258, 560) = ( 258 x 560 ) / 72240
GCD(258, 560) = 144480 / 72240
GCD(258, 560) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 328) = 328
GCD(2, 328) = ( 2 x 328 ) / 328
GCD(2, 328) = 656 / 328
GCD(2, 328) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 691) = 1382
GCD(2, 691) = ( 2 x 691 ) / 1382
GCD(2, 691) = 1382 / 1382
GCD(2, 691) = 1
GCD of 258, 560, 328, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 560, 328, 691?
GCD of 258, 560, 328, 691 is 1
2. Where do I get the detailed procedure to find GCD of 258, 560, 328, 691?
You can find a detailed procedure to find GCD of 258, 560, 328, 691 on our page.
3. How to find GCD of 258, 560, 328, 691 on a calculator?
You can find the GCD of 258, 560, 328, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.