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 60, 550, 823, 902 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 550, 823, 902 is 1
GCD(60, 550, 823, 902) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 550, 823, 902 is 1
GCD(60, 550, 823, 902) = 1
Given Input numbers are 60, 550, 823, 902
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 60, 550, 823, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 550, 823, 902 is 1.
Therefore, GCD of numbers 60, 550, 823, 902 is 1
Given Input Data is 60, 550, 823, 902
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 823 is 823
Prime Factorization of 902 is 2 x 11 x 41
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(60, 550) = 3300
GCD(60, 550) = ( 60 x 550 ) / 3300
GCD(60, 550) = 33000 / 3300
GCD(60, 550) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 823) = 8230
GCD(10, 823) = ( 10 x 823 ) / 8230
GCD(10, 823) = 8230 / 8230
GCD(10, 823) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
GCD(1, 902) = 902 / 902
GCD(1, 902) = 1
GCD of 60, 550, 823, 902 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 550, 823, 902?
GCD of 60, 550, 823, 902 is 1
2. Where do I get the detailed procedure to find GCD of 60, 550, 823, 902?
You can find a detailed procedure to find GCD of 60, 550, 823, 902 on our page.
3. How to find GCD of 60, 550, 823, 902 on a calculator?
You can find the GCD of 60, 550, 823, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.