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, 660, 389, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 660, 389, 101 is 1
GCD(87, 660, 389, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 660, 389, 101 is 1
GCD(87, 660, 389, 101) = 1
Given Input numbers are 87, 660, 389, 101
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 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 87, 660, 389, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 660, 389, 101 is 1.
Therefore, GCD of numbers 87, 660, 389, 101 is 1
Given Input Data is 87, 660, 389, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 389 is 389
Prime Factorization of 101 is 101
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, 660) = 19140
GCD(87, 660) = ( 87 x 660 ) / 19140
GCD(87, 660) = 57420 / 19140
GCD(87, 660) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 389) = 1167
GCD(3, 389) = ( 3 x 389 ) / 1167
GCD(3, 389) = 1167 / 1167
GCD(3, 389) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 87, 660, 389, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 660, 389, 101?
GCD of 87, 660, 389, 101 is 1
2. Where do I get the detailed procedure to find GCD of 87, 660, 389, 101?
You can find a detailed procedure to find GCD of 87, 660, 389, 101 on our page.
3. How to find GCD of 87, 660, 389, 101 on a calculator?
You can find the GCD of 87, 660, 389, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.