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 900, 968, 67, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 900, 968, 67, 865 is 1
GCD(900, 968, 67, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 968, 67, 865 is 1
GCD(900, 968, 67, 865) = 1
Given Input numbers are 900, 968, 67, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 900, 968, 67, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 968, 67, 865 is 1.
Therefore, GCD of numbers 900, 968, 67, 865 is 1
Given Input Data is 900, 968, 67, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 67 is 67
Prime Factorization of 865 is 5 x 173
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(900, 968) = 217800
GCD(900, 968) = ( 900 x 968 ) / 217800
GCD(900, 968) = 871200 / 217800
GCD(900, 968) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 67) = 268
GCD(4, 67) = ( 4 x 67 ) / 268
GCD(4, 67) = 268 / 268
GCD(4, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 900, 968, 67, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 968, 67, 865?
GCD of 900, 968, 67, 865 is 1
2. Where do I get the detailed procedure to find GCD of 900, 968, 67, 865?
You can find a detailed procedure to find GCD of 900, 968, 67, 865 on our page.
3. How to find GCD of 900, 968, 67, 865 on a calculator?
You can find the GCD of 900, 968, 67, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.