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, 621, 910, 638 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 621, 910, 638 is 1
GCD(87, 621, 910, 638) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 621, 910, 638 is 1
GCD(87, 621, 910, 638) = 1
Given Input numbers are 87, 621, 910, 638
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 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Greatest Common Divisior
We found the divisors of 87, 621, 910, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 621, 910, 638 is 1.
Therefore, GCD of numbers 87, 621, 910, 638 is 1
Given Input Data is 87, 621, 910, 638
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 638 is 2 x 11 x 29
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, 621) = 18009
GCD(87, 621) = ( 87 x 621 ) / 18009
GCD(87, 621) = 54027 / 18009
GCD(87, 621) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 910) = 2730
GCD(3, 910) = ( 3 x 910 ) / 2730
GCD(3, 910) = 2730 / 2730
GCD(3, 910) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 638) = 638
GCD(1, 638) = ( 1 x 638 ) / 638
GCD(1, 638) = 638 / 638
GCD(1, 638) = 1
GCD of 87, 621, 910, 638 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 621, 910, 638?
GCD of 87, 621, 910, 638 is 1
2. Where do I get the detailed procedure to find GCD of 87, 621, 910, 638?
You can find a detailed procedure to find GCD of 87, 621, 910, 638 on our page.
3. How to find GCD of 87, 621, 910, 638 on a calculator?
You can find the GCD of 87, 621, 910, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.