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 87, 659, 238, 521 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 659, 238, 521 is 1
GCD(87, 659, 238, 521) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 659, 238, 521 is 1
GCD(87, 659, 238, 521) = 1
Given Input numbers are 87, 659, 238, 521
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Greatest Common Divisior
We found the divisors of 87, 659, 238, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 659, 238, 521 is 1.
Therefore, GCD of numbers 87, 659, 238, 521 is 1
Given Input Data is 87, 659, 238, 521
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 659 is 659
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 521 is 521
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(87, 659) = 57333
GCD(87, 659) = ( 87 x 659 ) / 57333
GCD(87, 659) = 57333 / 57333
GCD(87, 659) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 1
GCD of 87, 659, 238, 521 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 659, 238, 521?
GCD of 87, 659, 238, 521 is 1
2. Where do I get the detailed procedure to find GCD of 87, 659, 238, 521?
You can find a detailed procedure to find GCD of 87, 659, 238, 521 on our page.
3. How to find GCD of 87, 659, 238, 521 on a calculator?
You can find the GCD of 87, 659, 238, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.