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, 360, 727, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 360, 727, 833 is 1
GCD(87, 360, 727, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 360, 727, 833 is 1
GCD(87, 360, 727, 833) = 1
Given Input numbers are 87, 360, 727, 833
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 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 87, 360, 727, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 360, 727, 833 is 1.
Therefore, GCD of numbers 87, 360, 727, 833 is 1
Given Input Data is 87, 360, 727, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 727 is 727
Prime Factorization of 833 is 7 x 7 x 17
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, 360) = 10440
GCD(87, 360) = ( 87 x 360 ) / 10440
GCD(87, 360) = 31320 / 10440
GCD(87, 360) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 727
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 727) = 2181
GCD(3, 727) = ( 3 x 727 ) / 2181
GCD(3, 727) = 2181 / 2181
GCD(3, 727) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 833) = 833
GCD(1, 833) = ( 1 x 833 ) / 833
GCD(1, 833) = 833 / 833
GCD(1, 833) = 1
GCD of 87, 360, 727, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 360, 727, 833?
GCD of 87, 360, 727, 833 is 1
2. Where do I get the detailed procedure to find GCD of 87, 360, 727, 833?
You can find a detailed procedure to find GCD of 87, 360, 727, 833 on our page.
3. How to find GCD of 87, 360, 727, 833 on a calculator?
You can find the GCD of 87, 360, 727, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.